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Finding the Fourth Proportional to 3,686.88, 5,088 and 2,508.48

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Solution

The fourth proportional to 3,686.88, 5,088 and 2,508.48 is: 3,461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.88 : 5,088 = 2,508.48 : x
  2. Step 2: Convert to fraction form
    3,686.88/5,088 = 2,508.48/x
  3. Step 3: Cross multiply
    3,686.88x = 5,088 × 2,508.48
  4. Step 4: Simplify right side
    3,686.88x = 12,763,146.24
  5. Step 5: Solve for x
    x = 12,763,146.24/3,686.88
  6. Step 6: Final answer
    x = 3,461.77

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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.