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Finding the Fourth Proportional to 5,488.16, 8,233.04 and 1,592.06

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Solution

The fourth proportional to 5,488.16, 8,233.04 and 1,592.06 is: 2,388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.16 : 8,233.04 = 1,592.06 : x
  2. Step 2: Convert to fraction form
    5,488.16/8,233.04 = 1,592.06/x
  3. Step 3: Cross multiply
    5,488.16x = 8,233.04 × 1,592.06
  4. Step 4: Simplify right side
    5,488.16x = 13,107,444.54
  5. Step 5: Solve for x
    x = 13,107,444.54/5,488.16
  6. Step 6: Final answer
    x = 2,388.32

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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.