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Finding the Fourth Proportional to 4,558, 6,290.05 and 2,462.13

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Solution

The fourth proportional to 4,558, 6,290.05 and 2,462.13 is: 3,397.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,558 : 6,290.05 = 2,462.13 : x
  2. Step 2: Convert to fraction form
    4,558/6,290.05 = 2,462.13/x
  3. Step 3: Cross multiply
    4,558x = 6,290.05 × 2,462.13
  4. Step 4: Simplify right side
    4,558x = 15,486,877.05
  5. Step 5: Solve for x
    x = 15,486,877.05/4,558
  6. Step 6: Final answer
    x = 3,397.74

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