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Finding the Fourth Proportional to 5,700.96, 8,539.86 and 4,773.90

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Solution

The fourth proportional to 5,700.96, 8,539.86 and 4,773.90 is: 7,151.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.96 : 8,539.86 = 4,773.90 : x
  2. Step 2: Convert to fraction form
    5,700.96/8,539.86 = 4,773.90/x
  3. Step 3: Cross multiply
    5,700.96x = 8,539.86 × 4,773.90
  4. Step 4: Simplify right side
    5,700.96x = 40,768,437.65
  5. Step 5: Solve for x
    x = 40,768,437.65/5,700.96
  6. Step 6: Final answer
    x = 7,151.15

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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.