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Finding the Fourth Proportional to 5,481, 7,565.13 and 3,124.51

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Solution

The fourth proportional to 5,481, 7,565.13 and 3,124.51 is: 4,312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481 : 7,565.13 = 3,124.51 : x
  2. Step 2: Convert to fraction form
    5,481/7,565.13 = 3,124.51/x
  3. Step 3: Cross multiply
    5,481x = 7,565.13 × 3,124.51
  4. Step 4: Simplify right side
    5,481x = 23,637,305.42
  5. Step 5: Solve for x
    x = 23,637,305.42/5,481
  6. Step 6: Final answer
    x = 4,312.59

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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.