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Finding the Fourth Proportional to 6,407.30, 8,842.13 and 3,719.07

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Solution

The fourth proportional to 6,407.30, 8,842.13 and 3,719.07 is: 5,132.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.30 : 8,842.13 = 3,719.07 : x
  2. Step 2: Convert to fraction form
    6,407.30/8,842.13 = 3,719.07/x
  3. Step 3: Cross multiply
    6,407.30x = 8,842.13 × 3,719.07
  4. Step 4: Simplify right side
    6,407.30x = 32,884,481.82
  5. Step 5: Solve for x
    x = 32,884,481.82/6,407.30
  6. Step 6: Final answer
    x = 5,132.35

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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.