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Finding the Fourth Proportional to 5,645.32, 7,790.44 and 3,127.38

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Solution

The fourth proportional to 5,645.32, 7,790.44 and 3,127.38 is: 4,315.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.32 : 7,790.44 = 3,127.38 : x
  2. Step 2: Convert to fraction form
    5,645.32/7,790.44 = 3,127.38/x
  3. Step 3: Cross multiply
    5,645.32x = 7,790.44 × 3,127.38
  4. Step 4: Simplify right side
    5,645.32x = 24,363,641.11
  5. Step 5: Solve for x
    x = 24,363,641.11/5,645.32
  6. Step 6: Final answer
    x = 4,315.72

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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.