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Finding the Fourth Proportional to 4,687.86, 7,029.40 and 1,566.74

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Solution

The fourth proportional to 4,687.86, 7,029.40 and 1,566.74 is: 2,349.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.86 : 7,029.40 = 1,566.74 : x
  2. Step 2: Convert to fraction form
    4,687.86/7,029.40 = 1,566.74/x
  3. Step 3: Cross multiply
    4,687.86x = 7,029.40 × 1,566.74
  4. Step 4: Simplify right side
    4,687.86x = 11,013,242.16
  5. Step 5: Solve for x
    x = 11,013,242.16/4,687.86
  6. Step 6: Final answer
    x = 2,349.31

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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.