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Finding the Fourth Proportional to 3,888.18, 5,829 and 1,695.24

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Solution

The fourth proportional to 3,888.18, 5,829 and 1,695.24 is: 2,541.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.18 : 5,829 = 1,695.24 : x
  2. Step 2: Convert to fraction form
    3,888.18/5,829 = 1,695.24/x
  3. Step 3: Cross multiply
    3,888.18x = 5,829 × 1,695.24
  4. Step 4: Simplify right side
    3,888.18x = 9,881,553.96
  5. Step 5: Solve for x
    x = 9,881,553.96/3,888.18
  6. Step 6: Final answer
    x = 2,541.43

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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.