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Finding the Fourth Proportional to 5,428.64, 7,487.56 and 4,155.38

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Solution

The fourth proportional to 5,428.64, 7,487.56 and 4,155.38 is: 5,731.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,428.64 : 7,487.56 = 4,155.38 : x
  2. Step 2: Convert to fraction form
    5,428.64/7,487.56 = 4,155.38/x
  3. Step 3: Cross multiply
    5,428.64x = 7,487.56 × 4,155.38
  4. Step 4: Simplify right side
    5,428.64x = 31,113,657.07
  5. Step 5: Solve for x
    x = 31,113,657.07/5,428.64
  6. Step 6: Final answer
    x = 5,731.39

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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.