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Finding the Fourth Proportional to 4,554.87, 6,834.95 and 1,781.40

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Solution

The fourth proportional to 4,554.87, 6,834.95 and 1,781.40 is: 2,673.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,554.87 : 6,834.95 = 1,781.40 : x
  2. Step 2: Convert to fraction form
    4,554.87/6,834.95 = 1,781.40/x
  3. Step 3: Cross multiply
    4,554.87x = 6,834.95 × 1,781.40
  4. Step 4: Simplify right side
    4,554.87x = 12,175,779.93
  5. Step 5: Solve for x
    x = 12,175,779.93/4,554.87
  6. Step 6: Final answer
    x = 2,673.13

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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.