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Finding the Fourth Proportional to 5,495.88, 8,242.80 and 1,599.36

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Solution

The fourth proportional to 5,495.88, 8,242.80 and 1,599.36 is: 2,398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,495.88 : 8,242.80 = 1,599.36 : x
  2. Step 2: Convert to fraction form
    5,495.88/8,242.80 = 1,599.36/x
  3. Step 3: Cross multiply
    5,495.88x = 8,242.80 × 1,599.36
  4. Step 4: Simplify right side
    5,495.88x = 13,183,204.61
  5. Step 5: Solve for x
    x = 13,183,204.61/5,495.88
  6. Step 6: Final answer
    x = 2,398.74

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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.