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Finding the Fourth Proportional to 5,710.65, 8,565.98 and 5,200.35

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Solution

The fourth proportional to 5,710.65, 8,565.98 and 5,200.35 is: 7,800.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.65 : 8,565.98 = 5,200.35 : x
  2. Step 2: Convert to fraction form
    5,710.65/8,565.98 = 5,200.35/x
  3. Step 3: Cross multiply
    5,710.65x = 8,565.98 × 5,200.35
  4. Step 4: Simplify right side
    5,710.65x = 44,546,068.09
  5. Step 5: Solve for x
    x = 44,546,068.09/5,710.65
  6. Step 6: Final answer
    x = 7,800.53

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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.