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Finding the Fourth Proportional to 4,846.52, 7,257.58 and 4,402.60

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Solution

The fourth proportional to 4,846.52, 7,257.58 and 4,402.60 is: 6,592.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.52 : 7,257.58 = 4,402.60 : x
  2. Step 2: Convert to fraction form
    4,846.52/7,257.58 = 4,402.60/x
  3. Step 3: Cross multiply
    4,846.52x = 7,257.58 × 4,402.60
  4. Step 4: Simplify right side
    4,846.52x = 31,952,221.71
  5. Step 5: Solve for x
    x = 31,952,221.71/4,846.52
  6. Step 6: Final answer
    x = 6,592.82

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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.