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Finding the Fourth Proportional to 4,658, 6,987 and 1,195.26

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Solution

The fourth proportional to 4,658, 6,987 and 1,195.26 is: 1,792.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658 : 6,987 = 1,195.26 : x
  2. Step 2: Convert to fraction form
    4,658/6,987 = 1,195.26/x
  3. Step 3: Cross multiply
    4,658x = 6,987 × 1,195.26
  4. Step 4: Simplify right side
    4,658x = 8,351,281.62
  5. Step 5: Solve for x
    x = 8,351,281.62/4,658
  6. Step 6: Final answer
    x = 1,792.89

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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.