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Finding the Fourth Proportional to 7,639.58, 10,542.58 and 4,282.40

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Solution

The fourth proportional to 7,639.58, 10,542.58 and 4,282.40 is: 5,909.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,639.58 : 10,542.58 = 4,282.40 : x
  2. Step 2: Convert to fraction form
    7,639.58/10,542.58 = 4,282.40/x
  3. Step 3: Cross multiply
    7,639.58x = 10,542.58 × 4,282.40
  4. Step 4: Simplify right side
    7,639.58x = 45,147,491.88
  5. Step 5: Solve for x
    x = 45,147,491.88/7,639.58
  6. Step 6: Final answer
    x = 5,909.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.