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Finding the Fourth Proportional to 3,501.28, 5,251.86 and 904.20

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Solution

The fourth proportional to 3,501.28, 5,251.86 and 904.20 is: 1,356.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.28 : 5,251.86 = 904.20 : x
  2. Step 2: Convert to fraction form
    3,501.28/5,251.86 = 904.20/x
  3. Step 3: Cross multiply
    3,501.28x = 5,251.86 × 904.20
  4. Step 4: Simplify right side
    3,501.28x = 4,748,731.81
  5. Step 5: Solve for x
    x = 4,748,731.81/3,501.28
  6. Step 6: Final answer
    x = 1,356.28

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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.