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Finding the Fourth Proportional to 3,464.59, 4,781.13 and 1,871.24

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Solution

The fourth proportional to 3,464.59, 4,781.13 and 1,871.24 is: 2,582.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.59 : 4,781.13 = 1,871.24 : x
  2. Step 2: Convert to fraction form
    3,464.59/4,781.13 = 1,871.24/x
  3. Step 3: Cross multiply
    3,464.59x = 4,781.13 × 1,871.24
  4. Step 4: Simplify right side
    3,464.59x = 8,946,636.51
  5. Step 5: Solve for x
    x = 8,946,636.51/3,464.59
  6. Step 6: Final answer
    x = 2,582.31

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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.