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Finding the Fourth Proportional to 3,501.86, 5,252.61 and 904.73

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Solution

The fourth proportional to 3,501.86, 5,252.61 and 904.73 is: 1,357.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.86 : 5,252.61 = 904.73 : x
  2. Step 2: Convert to fraction form
    3,501.86/5,252.61 = 904.73/x
  3. Step 3: Cross multiply
    3,501.86x = 5,252.61 × 904.73
  4. Step 4: Simplify right side
    3,501.86x = 4,752,193.85
  5. Step 5: Solve for x
    x = 4,752,193.85/3,501.86
  6. Step 6: Final answer
    x = 1,357.05

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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.