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Finding the Fourth Proportional to 4,310.72, 6,465.12 and 1,712.96

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Solution

The fourth proportional to 4,310.72, 6,465.12 and 1,712.96 is: 2,569.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310.72 : 6,465.12 = 1,712.96 : x
  2. Step 2: Convert to fraction form
    4,310.72/6,465.12 = 1,712.96/x
  3. Step 3: Cross multiply
    4,310.72x = 6,465.12 × 1,712.96
  4. Step 4: Simplify right side
    4,310.72x = 11,074,491.96
  5. Step 5: Solve for x
    x = 11,074,491.96/4,310.72
  6. Step 6: Final answer
    x = 2,569.06

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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.