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Finding the Fourth Proportional to 4,152.78, 5,731.12 and 2,538.38

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Solution

The fourth proportional to 4,152.78, 5,731.12 and 2,538.38 is: 3,503.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.78 : 5,731.12 = 2,538.38 : x
  2. Step 2: Convert to fraction form
    4,152.78/5,731.12 = 2,538.38/x
  3. Step 3: Cross multiply
    4,152.78x = 5,731.12 × 2,538.38
  4. Step 4: Simplify right side
    4,152.78x = 14,547,760.39
  5. Step 5: Solve for x
    x = 14,547,760.39/4,152.78
  6. Step 6: Final answer
    x = 3,503.14

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Why These Related Problems?

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