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Finding the Fourth Proportional to 4,742.86, 7,116.78 and 3,365.08

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Solution

The fourth proportional to 4,742.86, 7,116.78 and 3,365.08 is: 5,049.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.86 : 7,116.78 = 3,365.08 : x
  2. Step 2: Convert to fraction form
    4,742.86/7,116.78 = 3,365.08/x
  3. Step 3: Cross multiply
    4,742.86x = 7,116.78 × 3,365.08
  4. Step 4: Simplify right side
    4,742.86x = 23,948,534.04
  5. Step 5: Solve for x
    x = 23,948,534.04/4,742.86
  6. Step 6: Final answer
    x = 5,049.39

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Why These Related Problems?

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