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Finding the Fourth Proportional to 5,714.67, 8,572.01 and 2,980.59

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Solution

The fourth proportional to 5,714.67, 8,572.01 and 2,980.59 is: 4,470.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.67 : 8,572.01 = 2,980.59 : x
  2. Step 2: Convert to fraction form
    5,714.67/8,572.01 = 2,980.59/x
  3. Step 3: Cross multiply
    5,714.67x = 8,572.01 × 2,980.59
  4. Step 4: Simplify right side
    5,714.67x = 25,549,632.38
  5. Step 5: Solve for x
    x = 25,549,632.38/5,714.67
  6. Step 6: Final answer
    x = 4,470.89

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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.