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Finding the Fourth Proportional to 3,237.64, 4,856.52 and 929.14

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Solution

The fourth proportional to 3,237.64, 4,856.52 and 929.14 is: 1,393.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.64 : 4,856.52 = 929.14 : x
  2. Step 2: Convert to fraction form
    3,237.64/4,856.52 = 929.14/x
  3. Step 3: Cross multiply
    3,237.64x = 4,856.52 × 929.14
  4. Step 4: Simplify right side
    3,237.64x = 4,512,386.99
  5. Step 5: Solve for x
    x = 4,512,386.99/3,237.64
  6. Step 6: Final answer
    x = 1,393.73

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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.