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Finding the Fourth Proportional to 4,117.70, 6,175.10 and 1,195.40

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Solution

The fourth proportional to 4,117.70, 6,175.10 and 1,195.40 is: 1,792.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.70 : 6,175.10 = 1,195.40 : x
  2. Step 2: Convert to fraction form
    4,117.70/6,175.10 = 1,195.40/x
  3. Step 3: Cross multiply
    4,117.70x = 6,175.10 × 1,195.40
  4. Step 4: Simplify right side
    4,117.70x = 7,381,714.54
  5. Step 5: Solve for x
    x = 7,381,714.54/4,117.70
  6. Step 6: Final answer
    x = 1,792.68

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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.