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Finding the Fourth Proportional to 5,900.24, 8,834.84 and 5,381.84

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Solution

The fourth proportional to 5,900.24, 8,834.84 and 5,381.84 is: 8,058.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,900.24 : 8,834.84 = 5,381.84 : x
  2. Step 2: Convert to fraction form
    5,900.24/8,834.84 = 5,381.84/x
  3. Step 3: Cross multiply
    5,900.24x = 8,834.84 × 5,381.84
  4. Step 4: Simplify right side
    5,900.24x = 47,547,695.31
  5. Step 5: Solve for x
    x = 47,547,695.31/5,900.24
  6. Step 6: Final answer
    x = 8,058.60

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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.