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Finding the Fourth Proportional to 4,339.82, 6,509.78 and 1,052.92

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Solution

The fourth proportional to 4,339.82, 6,509.78 and 1,052.92 is: 1,579.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,339.82 : 6,509.78 = 1,052.92 : x
  2. Step 2: Convert to fraction form
    4,339.82/6,509.78 = 1,052.92/x
  3. Step 3: Cross multiply
    4,339.82x = 6,509.78 × 1,052.92
  4. Step 4: Simplify right side
    4,339.82x = 6,854,284.38
  5. Step 5: Solve for x
    x = 6,854,284.38/4,339.82
  6. Step 6: Final answer
    x = 1,579.39

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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.