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Finding the Fourth Proportional to 2,695.47, 3,718.06 and 2,507.95

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Solution

The fourth proportional to 2,695.47, 3,718.06 and 2,507.95 is: 3,459.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.47 : 3,718.06 = 2,507.95 : x
  2. Step 2: Convert to fraction form
    2,695.47/3,718.06 = 2,507.95/x
  3. Step 3: Cross multiply
    2,695.47x = 3,718.06 × 2,507.95
  4. Step 4: Simplify right side
    2,695.47x = 9,324,708.58
  5. Step 5: Solve for x
    x = 9,324,708.58/2,695.47
  6. Step 6: Final answer
    x = 3,459.40

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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.