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Finding the Fourth Proportional to 6,277.60, 8,659.84 and 4,260.32

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Solution

The fourth proportional to 6,277.60, 8,659.84 and 4,260.32 is: 5,877.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.60 : 8,659.84 = 4,260.32 : x
  2. Step 2: Convert to fraction form
    6,277.60/8,659.84 = 4,260.32/x
  3. Step 3: Cross multiply
    6,277.60x = 8,659.84 × 4,260.32
  4. Step 4: Simplify right side
    6,277.60x = 36,893,689.55
  5. Step 5: Solve for x
    x = 36,893,689.55/6,277.60
  6. Step 6: Final answer
    x = 5,877.04

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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.