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Finding the Fourth Proportional to 2,547.72, 3,516.12 and 1,428.96

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Solution

The fourth proportional to 2,547.72, 3,516.12 and 1,428.96 is: 1,972.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.72 : 3,516.12 = 1,428.96 : x
  2. Step 2: Convert to fraction form
    2,547.72/3,516.12 = 1,428.96/x
  3. Step 3: Cross multiply
    2,547.72x = 3,516.12 × 1,428.96
  4. Step 4: Simplify right side
    2,547.72x = 5,024,394.84
  5. Step 5: Solve for x
    x = 5,024,394.84/2,547.72
  6. Step 6: Final answer
    x = 1,972.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.