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Finding the Fourth Proportional to 6,425.46, 8,871.12 and 4,071.60

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Solution

The fourth proportional to 6,425.46, 8,871.12 and 4,071.60 is: 5,621.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.46 : 8,871.12 = 4,071.60 : x
  2. Step 2: Convert to fraction form
    6,425.46/8,871.12 = 4,071.60/x
  3. Step 3: Cross multiply
    6,425.46x = 8,871.12 × 4,071.60
  4. Step 4: Simplify right side
    6,425.46x = 36,119,652.19
  5. Step 5: Solve for x
    x = 36,119,652.19/6,425.46
  6. Step 6: Final answer
    x = 5,621.33

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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.