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Finding the Fourth Proportional to 4,043.67, 6,065.70 and 1,578.70

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Solution

The fourth proportional to 4,043.67, 6,065.70 and 1,578.70 is: 2,368.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,043.67 : 6,065.70 = 1,578.70 : x
  2. Step 2: Convert to fraction form
    4,043.67/6,065.70 = 1,578.70/x
  3. Step 3: Cross multiply
    4,043.67x = 6,065.70 × 1,578.70
  4. Step 4: Simplify right side
    4,043.67x = 9,575,920.59
  5. Step 5: Solve for x
    x = 9,575,920.59/4,043.67
  6. Step 6: Final answer
    x = 2,368.13

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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.