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Finding the Fourth Proportional to 3,237.90, 4,856.85 and 929.10

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Solution

The fourth proportional to 3,237.90, 4,856.85 and 929.10 is: 1,393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.90 : 4,856.85 = 929.10 : x
  2. Step 2: Convert to fraction form
    3,237.90/4,856.85 = 929.10/x
  3. Step 3: Cross multiply
    3,237.90x = 4,856.85 × 929.10
  4. Step 4: Simplify right side
    3,237.90x = 4,512,499.34
  5. Step 5: Solve for x
    x = 4,512,499.34/3,237.90
  6. Step 6: Final answer
    x = 1,393.65

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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.