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Finding the Fourth Proportional to 3,612.96, 5,419.44 and 2,315.28

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Solution

The fourth proportional to 3,612.96, 5,419.44 and 2,315.28 is: 3,472.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.96 : 5,419.44 = 2,315.28 : x
  2. Step 2: Convert to fraction form
    3,612.96/5,419.44 = 2,315.28/x
  3. Step 3: Cross multiply
    3,612.96x = 5,419.44 × 2,315.28
  4. Step 4: Simplify right side
    3,612.96x = 12,547,521.04
  5. Step 5: Solve for x
    x = 12,547,521.04/3,612.96
  6. Step 6: Final answer
    x = 3,472.92

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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.