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Finding the Fourth Proportional to 3,501.18, 5,251.89 and 904.14

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Solution

The fourth proportional to 3,501.18, 5,251.89 and 904.14 is: 1,356.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.18 : 5,251.89 = 904.14 : x
  2. Step 2: Convert to fraction form
    3,501.18/5,251.89 = 904.14/x
  3. Step 3: Cross multiply
    3,501.18x = 5,251.89 × 904.14
  4. Step 4: Simplify right side
    3,501.18x = 4,748,443.82
  5. Step 5: Solve for x
    x = 4,748,443.82/3,501.18
  6. Step 6: Final answer
    x = 1,356.24

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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.