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Finding the Fourth Proportional to 4,340.39, 6,509.00 and 1,566.31

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Solution

The fourth proportional to 4,340.39, 6,509.00 and 1,566.31 is: 2,348.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.39 : 6,509.00 = 1,566.31 : x
  2. Step 2: Convert to fraction form
    4,340.39/6,509.00 = 1,566.31/x
  3. Step 3: Cross multiply
    4,340.39x = 6,509.00 × 1,566.31
  4. Step 4: Simplify right side
    4,340.39x = 10,195,099.43
  5. Step 5: Solve for x
    x = 10,195,099.43/4,340.39
  6. Step 6: Final answer
    x = 2,348.89

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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.