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Finding the Fourth Proportional to 3,237.40, 4,856.10 and 3,059.20

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Solution

The fourth proportional to 3,237.40, 4,856.10 and 3,059.20 is: 4,588.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.40 : 4,856.10 = 3,059.20 : x
  2. Step 2: Convert to fraction form
    3,237.40/4,856.10 = 3,059.20/x
  3. Step 3: Cross multiply
    3,237.40x = 4,856.10 × 3,059.20
  4. Step 4: Simplify right side
    3,237.40x = 14,855,781.12
  5. Step 5: Solve for x
    x = 14,855,781.12/3,237.40
  6. Step 6: Final answer
    x = 4,588.80

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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.