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Finding the Fourth Proportional to 3,842.28, 5,303.52 and 2,407.42

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Solution

The fourth proportional to 3,842.28, 5,303.52 and 2,407.42 is: 3,322.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.28 : 5,303.52 = 2,407.42 : x
  2. Step 2: Convert to fraction form
    3,842.28/5,303.52 = 2,407.42/x
  3. Step 3: Cross multiply
    3,842.28x = 5,303.52 × 2,407.42
  4. Step 4: Simplify right side
    3,842.28x = 12,767,800.12
  5. Step 5: Solve for x
    x = 12,767,800.12/3,842.28
  6. Step 6: Final answer
    x = 3,322.97

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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.