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Finding the Fourth Proportional to 3,565.31, 4,920.16 and 1,971.87

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Solution

The fourth proportional to 3,565.31, 4,920.16 and 1,971.87 is: 2,721.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.31 : 4,920.16 = 1,971.87 : x
  2. Step 2: Convert to fraction form
    3,565.31/4,920.16 = 1,971.87/x
  3. Step 3: Cross multiply
    3,565.31x = 4,920.16 × 1,971.87
  4. Step 4: Simplify right side
    3,565.31x = 9,701,906.04
  5. Step 5: Solve for x
    x = 9,701,906.04/3,565.31
  6. Step 6: Final answer
    x = 2,721.20

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1.5x scale

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.