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Finding the Fourth Proportional to 5,828.81, 8,024.09 and 5,267.57

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Solution

The fourth proportional to 5,828.81, 8,024.09 and 5,267.57 is: 7,251.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.81 : 8,024.09 = 5,267.57 : x
  2. Step 2: Convert to fraction form
    5,828.81/8,024.09 = 5,267.57/x
  3. Step 3: Cross multiply
    5,828.81x = 8,024.09 × 5,267.57
  4. Step 4: Simplify right side
    5,828.81x = 42,267,389.30
  5. Step 5: Solve for x
    x = 42,267,389.30/5,828.81
  6. Step 6: Final answer
    x = 7,251.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.