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Finding the Fourth Proportional to 4,867.34, 7,298.67 and 3,407.18

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Solution

The fourth proportional to 4,867.34, 7,298.67 and 3,407.18 is: 5,109.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.34 : 7,298.67 = 3,407.18 : x
  2. Step 2: Convert to fraction form
    4,867.34/7,298.67 = 3,407.18/x
  3. Step 3: Cross multiply
    4,867.34x = 7,298.67 × 3,407.18
  4. Step 4: Simplify right side
    4,867.34x = 24,867,882.45
  5. Step 5: Solve for x
    x = 24,867,882.45/4,867.34
  6. Step 6: Final answer
    x = 5,109.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.