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Finding the Fourth Proportional to 5,266.86, 7,894.11 and 2,925.73

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Solution

The fourth proportional to 5,266.86, 7,894.11 and 2,925.73 is: 4,385.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.86 : 7,894.11 = 2,925.73 : x
  2. Step 2: Convert to fraction form
    5,266.86/7,894.11 = 2,925.73/x
  3. Step 3: Cross multiply
    5,266.86x = 7,894.11 × 2,925.73
  4. Step 4: Simplify right side
    5,266.86x = 23,096,034.45
  5. Step 5: Solve for x
    x = 23,096,034.45/5,266.86
  6. Step 6: Final answer
    x = 4,385.16

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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.