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Finding the Fourth Proportional to 3,501.92, 5,252.46 and 904.76

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Solution

The fourth proportional to 3,501.92, 5,252.46 and 904.76 is: 1,357.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.92 : 5,252.46 = 904.76 : x
  2. Step 2: Convert to fraction form
    3,501.92/5,252.46 = 904.76/x
  3. Step 3: Cross multiply
    3,501.92x = 5,252.46 × 904.76
  4. Step 4: Simplify right side
    3,501.92x = 4,752,215.71
  5. Step 5: Solve for x
    x = 4,752,215.71/3,501.92
  6. Step 6: Final answer
    x = 1,357.03

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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.