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Finding the Fourth Proportional to 6,592.41, 9,875.52 and 3,467.70

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Solution

The fourth proportional to 6,592.41, 9,875.52 and 3,467.70 is: 5,194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.41 : 9,875.52 = 3,467.70 : x
  2. Step 2: Convert to fraction form
    6,592.41/9,875.52 = 3,467.70/x
  3. Step 3: Cross multiply
    6,592.41x = 9,875.52 × 3,467.70
  4. Step 4: Simplify right side
    6,592.41x = 34,245,340.70
  5. Step 5: Solve for x
    x = 34,245,340.70/6,592.41
  6. Step 6: Final answer
    x = 5,194.66

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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.