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Finding the Fourth Proportional to 5,752.86, 8,617.92 and 4,514.10

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Solution

The fourth proportional to 5,752.86, 8,617.92 and 4,514.10 is: 6,762.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.86 : 8,617.92 = 4,514.10 : x
  2. Step 2: Convert to fraction form
    5,752.86/8,617.92 = 4,514.10/x
  3. Step 3: Cross multiply
    5,752.86x = 8,617.92 × 4,514.10
  4. Step 4: Simplify right side
    5,752.86x = 38,902,152.67
  5. Step 5: Solve for x
    x = 38,902,152.67/5,752.86
  6. Step 6: Final answer
    x = 6,762.23

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