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Finding the Fourth Proportional to 4,600.35, 6,884.15 and 4,291.47

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Solution

The fourth proportional to 4,600.35, 6,884.15 and 4,291.47 is: 6,421.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.35 : 6,884.15 = 4,291.47 : x
  2. Step 2: Convert to fraction form
    4,600.35/6,884.15 = 4,291.47/x
  3. Step 3: Cross multiply
    4,600.35x = 6,884.15 × 4,291.47
  4. Step 4: Simplify right side
    4,600.35x = 29,543,101.74
  5. Step 5: Solve for x
    x = 29,543,101.74/4,600.35
  6. Step 6: Final answer
    x = 6,421.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.