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Finding the Fourth Proportional to 3,531.94, 4,874.04 and 2,538.20

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Solution

The fourth proportional to 3,531.94, 4,874.04 and 2,538.20 is: 3,502.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.94 : 4,874.04 = 2,538.20 : x
  2. Step 2: Convert to fraction form
    3,531.94/4,874.04 = 2,538.20/x
  3. Step 3: Cross multiply
    3,531.94x = 4,874.04 × 2,538.20
  4. Step 4: Simplify right side
    3,531.94x = 12,371,300.51
  5. Step 5: Solve for x
    x = 12,371,300.51/3,531.94
  6. Step 6: Final answer
    x = 3,502.70

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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.