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Finding the Fourth Proportional to 6,495.52, 8,962.32 and 3,842.08

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Solution

The fourth proportional to 6,495.52, 8,962.32 and 3,842.08 is: 5,301.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.52 : 8,962.32 = 3,842.08 : x
  2. Step 2: Convert to fraction form
    6,495.52/8,962.32 = 3,842.08/x
  3. Step 3: Cross multiply
    6,495.52x = 8,962.32 × 3,842.08
  4. Step 4: Simplify right side
    6,495.52x = 34,433,950.43
  5. Step 5: Solve for x
    x = 34,433,950.43/6,495.52
  6. Step 6: Final answer
    x = 5,301.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.