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Finding the Fourth Proportional to 4,340.66, 6,509.64 and 1,566.97

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Solution

The fourth proportional to 4,340.66, 6,509.64 and 1,566.97 is: 2,349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.66 : 6,509.64 = 1,566.97 : x
  2. Step 2: Convert to fraction form
    4,340.66/6,509.64 = 1,566.97/x
  3. Step 3: Cross multiply
    4,340.66x = 6,509.64 × 1,566.97
  4. Step 4: Simplify right side
    4,340.66x = 10,200,410.59
  5. Step 5: Solve for x
    x = 10,200,410.59/4,340.66
  6. Step 6: Final answer
    x = 2,349.97

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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.