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Finding the Fourth Proportional to 5,599.16, 7,726.54 and 3,115

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Solution

The fourth proportional to 5,599.16, 7,726.54 and 3,115 is: 4,298.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,599.16 : 7,726.54 = 3,115 : x
  2. Step 2: Convert to fraction form
    5,599.16/7,726.54 = 3,115/x
  3. Step 3: Cross multiply
    5,599.16x = 7,726.54 × 3,115
  4. Step 4: Simplify right side
    5,599.16x = 24,068,172.10
  5. Step 5: Solve for x
    x = 24,068,172.10/5,599.16
  6. Step 6: Final answer
    x = 4,298.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.