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Finding the Fourth Proportional to 4,142.97, 6,213.56 and 1,368.98

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Solution

The fourth proportional to 4,142.97, 6,213.56 and 1,368.98 is: 2,053.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.97 : 6,213.56 = 1,368.98 : x
  2. Step 2: Convert to fraction form
    4,142.97/6,213.56 = 1,368.98/x
  3. Step 3: Cross multiply
    4,142.97x = 6,213.56 × 1,368.98
  4. Step 4: Simplify right side
    4,142.97x = 8,506,248.06
  5. Step 5: Solve for x
    x = 8,506,248.06/4,142.97
  6. Step 6: Final answer
    x = 2,053.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.