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Finding the Fourth Proportional to 4,432.96, 6,648.16 and 1,313.20

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Solution

The fourth proportional to 4,432.96, 6,648.16 and 1,313.20 is: 1,969.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,432.96 : 6,648.16 = 1,313.20 : x
  2. Step 2: Convert to fraction form
    4,432.96/6,648.16 = 1,313.20/x
  3. Step 3: Cross multiply
    4,432.96x = 6,648.16 × 1,313.20
  4. Step 4: Simplify right side
    4,432.96x = 8,730,363.71
  5. Step 5: Solve for x
    x = 8,730,363.71/4,432.96
  6. Step 6: Final answer
    x = 1,969.42

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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.