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Finding the Fourth Proportional to 5,710.42, 8,565.63 and 1,550.43

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Solution

The fourth proportional to 5,710.42, 8,565.63 and 1,550.43 is: 2,325.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.42 : 8,565.63 = 1,550.43 : x
  2. Step 2: Convert to fraction form
    5,710.42/8,565.63 = 1,550.43/x
  3. Step 3: Cross multiply
    5,710.42x = 8,565.63 × 1,550.43
  4. Step 4: Simplify right side
    5,710.42x = 13,280,409.72
  5. Step 5: Solve for x
    x = 13,280,409.72/5,710.42
  6. Step 6: Final answer
    x = 2,325.65

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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.