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Finding the Fourth Proportional to 3,610.07, 4,978.61 and 2,281.47

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Solution

The fourth proportional to 3,610.07, 4,978.61 and 2,281.47 is: 3,146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.07 : 4,978.61 = 2,281.47 : x
  2. Step 2: Convert to fraction form
    3,610.07/4,978.61 = 2,281.47/x
  3. Step 3: Cross multiply
    3,610.07x = 4,978.61 × 2,281.47
  4. Step 4: Simplify right side
    3,610.07x = 11,358,540.67
  5. Step 5: Solve for x
    x = 11,358,540.67/3,610.07
  6. Step 6: Final answer
    x = 3,146.35

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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.