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Finding the Fourth Proportional to 4,575.38, 6,316.38 and 2,898.54

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Solution

The fourth proportional to 4,575.38, 6,316.38 and 2,898.54 is: 4,001.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,575.38 : 6,316.38 = 2,898.54 : x
  2. Step 2: Convert to fraction form
    4,575.38/6,316.38 = 2,898.54/x
  3. Step 3: Cross multiply
    4,575.38x = 6,316.38 × 2,898.54
  4. Step 4: Simplify right side
    4,575.38x = 18,308,280.09
  5. Step 5: Solve for x
    x = 18,308,280.09/4,575.38
  6. Step 6: Final answer
    x = 4,001.48

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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.