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Finding the Fourth Proportional to 3,406.50, 4,700.88 and 1,914.58

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Solution

The fourth proportional to 3,406.50, 4,700.88 and 1,914.58 is: 2,642.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.50 : 4,700.88 = 1,914.58 : x
  2. Step 2: Convert to fraction form
    3,406.50/4,700.88 = 1,914.58/x
  3. Step 3: Cross multiply
    3,406.50x = 4,700.88 × 1,914.58
  4. Step 4: Simplify right side
    3,406.50x = 9,000,210.83
  5. Step 5: Solve for x
    x = 9,000,210.83/3,406.50
  6. Step 6: Final answer
    x = 2,642.07

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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.