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Finding the Fourth Proportional to 4,658.47, 6,987.74 and 1,195.72

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Solution

The fourth proportional to 4,658.47, 6,987.74 and 1,195.72 is: 1,793.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.47 : 6,987.74 = 1,195.72 : x
  2. Step 2: Convert to fraction form
    4,658.47/6,987.74 = 1,195.72/x
  3. Step 3: Cross multiply
    4,658.47x = 6,987.74 × 1,195.72
  4. Step 4: Simplify right side
    4,658.47x = 8,355,357.02
  5. Step 5: Solve for x
    x = 8,355,357.02/4,658.47
  6. Step 6: Final answer
    x = 1,793.58

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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.