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Finding the Fourth Proportional to 5,834.36, 8,741.64 and 3,521

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Solution

The fourth proportional to 5,834.36, 8,741.64 and 3,521 is: 5,275.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.36 : 8,741.64 = 3,521 : x
  2. Step 2: Convert to fraction form
    5,834.36/8,741.64 = 3,521/x
  3. Step 3: Cross multiply
    5,834.36x = 8,741.64 × 3,521
  4. Step 4: Simplify right side
    5,834.36x = 30,779,314.44
  5. Step 5: Solve for x
    x = 30,779,314.44/5,834.36
  6. Step 6: Final answer
    x = 5,275.53

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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.