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Finding the Fourth Proportional to 3,497.90, 5,246.85 and 3,133.10

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Solution

The fourth proportional to 3,497.90, 5,246.85 and 3,133.10 is: 4,699.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.90 : 5,246.85 = 3,133.10 : x
  2. Step 2: Convert to fraction form
    3,497.90/5,246.85 = 3,133.10/x
  3. Step 3: Cross multiply
    3,497.90x = 5,246.85 × 3,133.10
  4. Step 4: Simplify right side
    3,497.90x = 16,438,905.74
  5. Step 5: Solve for x
    x = 16,438,905.74/3,497.90
  6. Step 6: Final answer
    x = 4,699.65

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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.