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Finding the Fourth Proportional to 3,534.71, 4,878.34 and 2,042.63

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Solution

The fourth proportional to 3,534.71, 4,878.34 and 2,042.63 is: 2,819.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.71 : 4,878.34 = 2,042.63 : x
  2. Step 2: Convert to fraction form
    3,534.71/4,878.34 = 2,042.63/x
  3. Step 3: Cross multiply
    3,534.71x = 4,878.34 × 2,042.63
  4. Step 4: Simplify right side
    3,534.71x = 9,964,643.63
  5. Step 5: Solve for x
    x = 9,964,643.63/3,534.71
  6. Step 6: Final answer
    x = 2,819.08

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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.