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Finding the Fourth Proportional to 3,597.74, 4,959.02 and 2,712

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Solution

The fourth proportional to 3,597.74, 4,959.02 and 2,712 is: 3,738.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.74 : 4,959.02 = 2,712 : x
  2. Step 2: Convert to fraction form
    3,597.74/4,959.02 = 2,712/x
  3. Step 3: Cross multiply
    3,597.74x = 4,959.02 × 2,712
  4. Step 4: Simplify right side
    3,597.74x = 13,448,862.24
  5. Step 5: Solve for x
    x = 13,448,862.24/3,597.74
  6. Step 6: Final answer
    x = 3,738.14

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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.