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Finding the Fourth Proportional to 5,854.92, 8,782.16 and 1,472.32

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Solution

The fourth proportional to 5,854.92, 8,782.16 and 1,472.32 is: 2,208.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.92 : 8,782.16 = 1,472.32 : x
  2. Step 2: Convert to fraction form
    5,854.92/8,782.16 = 1,472.32/x
  3. Step 3: Cross multiply
    5,854.92x = 8,782.16 × 1,472.32
  4. Step 4: Simplify right side
    5,854.92x = 12,930,149.81
  5. Step 5: Solve for x
    x = 12,930,149.81/5,854.92
  6. Step 6: Final answer
    x = 2,208.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.