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Finding the Fourth Proportional to 5,695.58, 8,539.71 and 2,407.79

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Solution

The fourth proportional to 5,695.58, 8,539.71 and 2,407.79 is: 3,610.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.58 : 8,539.71 = 2,407.79 : x
  2. Step 2: Convert to fraction form
    5,695.58/8,539.71 = 2,407.79/x
  3. Step 3: Cross multiply
    5,695.58x = 8,539.71 × 2,407.79
  4. Step 4: Simplify right side
    5,695.58x = 20,561,785.64
  5. Step 5: Solve for x
    x = 20,561,785.64/5,695.58
  6. Step 6: Final answer
    x = 3,610.13

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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.