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Finding the Fourth Proportional to 5,693.22, 8,531.73 and 5,065.74

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Solution

The fourth proportional to 5,693.22, 8,531.73 and 5,065.74 is: 7,591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.22 : 8,531.73 = 5,065.74 : x
  2. Step 2: Convert to fraction form
    5,693.22/8,531.73 = 5,065.74/x
  3. Step 3: Cross multiply
    5,693.22x = 8,531.73 × 5,065.74
  4. Step 4: Simplify right side
    5,693.22x = 43,219,525.93
  5. Step 5: Solve for x
    x = 43,219,525.93/5,693.22
  6. Step 6: Final answer
    x = 7,591.40

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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.