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Finding the Fourth Proportional to 5,888.16, 8,841.96 and 5,324.40

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Solution

The fourth proportional to 5,888.16, 8,841.96 and 5,324.40 is: 7,995.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888.16 : 8,841.96 = 5,324.40 : x
  2. Step 2: Convert to fraction form
    5,888.16/8,841.96 = 5,324.40/x
  3. Step 3: Cross multiply
    5,888.16x = 8,841.96 × 5,324.40
  4. Step 4: Simplify right side
    5,888.16x = 47,078,131.82
  5. Step 5: Solve for x
    x = 47,078,131.82/5,888.16
  6. Step 6: Final answer
    x = 7,995.39

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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.