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Finding the Fourth Proportional to 6,495.12, 8,962.60 and 3,842.01

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Solution

The fourth proportional to 6,495.12, 8,962.60 and 3,842.01 is: 5,301.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.12 : 8,962.60 = 3,842.01 : x
  2. Step 2: Convert to fraction form
    6,495.12/8,962.60 = 3,842.01/x
  3. Step 3: Cross multiply
    6,495.12x = 8,962.60 × 3,842.01
  4. Step 4: Simplify right side
    6,495.12x = 34,434,398.83
  5. Step 5: Solve for x
    x = 34,434,398.83/6,495.12
  6. Step 6: Final answer
    x = 5,301.58

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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.