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Finding the Fourth Proportional to 3,531.25, 4,855.85 and 3,064.69

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Solution

The fourth proportional to 3,531.25, 4,855.85 and 3,064.69 is: 4,214.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.25 : 4,855.85 = 3,064.69 : x
  2. Step 2: Convert to fraction form
    3,531.25/4,855.85 = 3,064.69/x
  3. Step 3: Cross multiply
    3,531.25x = 4,855.85 × 3,064.69
  4. Step 4: Simplify right side
    3,531.25x = 14,881,659.61
  5. Step 5: Solve for x
    x = 14,881,659.61/3,531.25
  6. Step 6: Final answer
    x = 4,214.28

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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.