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Finding the Fourth Proportional to 5,871.60, 8,112.06 and 5,405.04

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Solution

The fourth proportional to 5,871.60, 8,112.06 and 5,405.04 is: 7,467.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.60 : 8,112.06 = 5,405.04 : x
  2. Step 2: Convert to fraction form
    5,871.60/8,112.06 = 5,405.04/x
  3. Step 3: Cross multiply
    5,871.60x = 8,112.06 × 5,405.04
  4. Step 4: Simplify right side
    5,871.60x = 43,846,008.78
  5. Step 5: Solve for x
    x = 43,846,008.78/5,871.60
  6. Step 6: Final answer
    x = 7,467.47

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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.