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Finding the Fourth Proportional to 4,565.72, 6,815.57 and 4,012.16

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Solution

The fourth proportional to 4,565.72, 6,815.57 and 4,012.16 is: 5,989.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.72 : 6,815.57 = 4,012.16 : x
  2. Step 2: Convert to fraction form
    4,565.72/6,815.57 = 4,012.16/x
  3. Step 3: Cross multiply
    4,565.72x = 6,815.57 × 4,012.16
  4. Step 4: Simplify right side
    4,565.72x = 27,345,103.19
  5. Step 5: Solve for x
    x = 27,345,103.19/4,565.72
  6. Step 6: Final answer
    x = 5,989.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.