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Finding the Fourth Proportional to 5,695.74, 8,538.53 and 3,064.66

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Solution

The fourth proportional to 5,695.74, 8,538.53 and 3,064.66 is: 4,594.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.74 : 8,538.53 = 3,064.66 : x
  2. Step 2: Convert to fraction form
    5,695.74/8,538.53 = 3,064.66/x
  3. Step 3: Cross multiply
    5,695.74x = 8,538.53 × 3,064.66
  4. Step 4: Simplify right side
    5,695.74x = 26,167,654.68
  5. Step 5: Solve for x
    x = 26,167,654.68/5,695.74
  6. Step 6: Final answer
    x = 4,594.25

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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.