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Finding the Fourth Proportional to 4,670.70, 6,442.71 and 2,781.02

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Solution

The fourth proportional to 4,670.70, 6,442.71 and 2,781.02 is: 3,836.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.70 : 6,442.71 = 2,781.02 : x
  2. Step 2: Convert to fraction form
    4,670.70/6,442.71 = 2,781.02/x
  3. Step 3: Cross multiply
    4,670.70x = 6,442.71 × 2,781.02
  4. Step 4: Simplify right side
    4,670.70x = 17,917,305.36
  5. Step 5: Solve for x
    x = 17,917,305.36/4,670.70
  6. Step 6: Final answer
    x = 3,836.11

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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.