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Finding the Fourth Proportional to 3,488.34, 5,233.32 and 1,023.18

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Solution

The fourth proportional to 3,488.34, 5,233.32 and 1,023.18 is: 1,535.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.34 : 5,233.32 = 1,023.18 : x
  2. Step 2: Convert to fraction form
    3,488.34/5,233.32 = 1,023.18/x
  3. Step 3: Cross multiply
    3,488.34x = 5,233.32 × 1,023.18
  4. Step 4: Simplify right side
    3,488.34x = 5,354,628.36
  5. Step 5: Solve for x
    x = 5,354,628.36/3,488.34
  6. Step 6: Final answer
    x = 1,535.01

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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.