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Finding the Fourth Proportional to 5,194.13, 7,737.12 and 4,958.42

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Solution

The fourth proportional to 5,194.13, 7,737.12 and 4,958.42 is: 7,386.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.13 : 7,737.12 = 4,958.42 : x
  2. Step 2: Convert to fraction form
    5,194.13/7,737.12 = 4,958.42/x
  3. Step 3: Cross multiply
    5,194.13x = 7,737.12 × 4,958.42
  4. Step 4: Simplify right side
    5,194.13x = 38,363,851.86
  5. Step 5: Solve for x
    x = 38,363,851.86/5,194.13
  6. Step 6: Final answer
    x = 7,386.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.