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Finding the Fourth Proportional to 4,658.34, 6,987.55 and 1,195.59

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Solution

The fourth proportional to 4,658.34, 6,987.55 and 1,195.59 is: 1,793.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.34 : 6,987.55 = 1,195.59 : x
  2. Step 2: Convert to fraction form
    4,658.34/6,987.55 = 1,195.59/x
  3. Step 3: Cross multiply
    4,658.34x = 6,987.55 × 1,195.59
  4. Step 4: Simplify right side
    4,658.34x = 8,354,244.90
  5. Step 5: Solve for x
    x = 8,354,244.90/4,658.34
  6. Step 6: Final answer
    x = 1,793.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.