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Finding the Fourth Proportional to 3,501.16, 5,251.56 and 904

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Solution

The fourth proportional to 3,501.16, 5,251.56 and 904 is: 1,355.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.16 : 5,251.56 = 904 : x
  2. Step 2: Convert to fraction form
    3,501.16/5,251.56 = 904/x
  3. Step 3: Cross multiply
    3,501.16x = 5,251.56 × 904
  4. Step 4: Simplify right side
    3,501.16x = 4,747,410.24
  5. Step 5: Solve for x
    x = 4,747,410.24/3,501.16
  6. Step 6: Final answer
    x = 1,355.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.