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Finding the Fourth Proportional to 3,497.94, 5,248.13 and 2,332.62

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Solution

The fourth proportional to 3,497.94, 5,248.13 and 2,332.62 is: 3,499.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.94 : 5,248.13 = 2,332.62 : x
  2. Step 2: Convert to fraction form
    3,497.94/5,248.13 = 2,332.62/x
  3. Step 3: Cross multiply
    3,497.94x = 5,248.13 × 2,332.62
  4. Step 4: Simplify right side
    3,497.94x = 12,241,881.34
  5. Step 5: Solve for x
    x = 12,241,881.34/3,497.94
  6. Step 6: Final answer
    x = 3,499.74

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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.