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Finding the Fourth Proportional to 5,827.10, 8,737.19 and 2,315.22

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Solution

The fourth proportional to 5,827.10, 8,737.19 and 2,315.22 is: 3,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.10 : 8,737.19 = 2,315.22 : x
  2. Step 2: Convert to fraction form
    5,827.10/8,737.19 = 2,315.22/x
  3. Step 3: Cross multiply
    5,827.10x = 8,737.19 × 2,315.22
  4. Step 4: Simplify right side
    5,827.10x = 20,228,483.61
  5. Step 5: Solve for x
    x = 20,228,483.61/5,827.10
  6. Step 6: Final answer
    x = 3,471.45

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1.5x scale

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.