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Finding the Fourth Proportional to 3,534.66, 4,873.11 and 3,042.58

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Solution

The fourth proportional to 3,534.66, 4,873.11 and 3,042.58 is: 4,194.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.66 : 4,873.11 = 3,042.58 : x
  2. Step 2: Convert to fraction form
    3,534.66/4,873.11 = 3,042.58/x
  3. Step 3: Cross multiply
    3,534.66x = 4,873.11 × 3,042.58
  4. Step 4: Simplify right side
    3,534.66x = 14,826,827.02
  5. Step 5: Solve for x
    x = 14,826,827.02/3,534.66
  6. Step 6: Final answer
    x = 4,194.70

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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.