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Finding the Fourth Proportional to 5,811.60, 8,710.10 and 5,345.04

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Solution

The fourth proportional to 5,811.60, 8,710.10 and 5,345.04 is: 8,010.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.60 : 8,710.10 = 5,345.04 : x
  2. Step 2: Convert to fraction form
    5,811.60/8,710.10 = 5,345.04/x
  3. Step 3: Cross multiply
    5,811.60x = 8,710.10 × 5,345.04
  4. Step 4: Simplify right side
    5,811.60x = 46,555,832.90
  5. Step 5: Solve for x
    x = 46,555,832.90/5,811.60
  6. Step 6: Final answer
    x = 8,010.85

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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.