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Finding the Fourth Proportional to 5,701,642.08, 7,868,267.55 and 3,123,414.51

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Solution

The fourth proportional to 5,701,642.08, 7,868,267.55 and 3,123,414.51 is: 4,310,312.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701,642.08 : 7,868,267.55 = 3,123,414.51 : x
  2. Step 2: Convert to fraction form
    5,701,642.08/7,868,267.55 = 3,123,414.51/x
  3. Step 3: Cross multiply
    5,701,642.08x = 7,868,267.55 × 3,123,414.51
  4. Step 4: Simplify right side
    5,701,642.08x = 24,575,861,034,232.15
  5. Step 5: Solve for x
    x = 24,575,861,034,232.15/5,701,642.08
  6. Step 6: Final answer
    x = 4,310,312.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.