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Finding the Fourth Proportional to 6,495.28, 8,964.32 and 4,259.04

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Solution

The fourth proportional to 6,495.28, 8,964.32 and 4,259.04 is: 5,878.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.28 : 8,964.32 = 4,259.04 : x
  2. Step 2: Convert to fraction form
    6,495.28/8,964.32 = 4,259.04/x
  3. Step 3: Cross multiply
    6,495.28x = 8,964.32 × 4,259.04
  4. Step 4: Simplify right side
    6,495.28x = 38,179,397.45
  5. Step 5: Solve for x
    x = 38,179,397.45/6,495.28
  6. Step 6: Final answer
    x = 5,878.02

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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.