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Finding the Fourth Proportional to 5,356.34, 8,034.72 and 1,658.24

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Solution

The fourth proportional to 5,356.34, 8,034.72 and 1,658.24 is: 2,487.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.34 : 8,034.72 = 1,658.24 : x
  2. Step 2: Convert to fraction form
    5,356.34/8,034.72 = 1,658.24/x
  3. Step 3: Cross multiply
    5,356.34x = 8,034.72 × 1,658.24
  4. Step 4: Simplify right side
    5,356.34x = 13,323,494.09
  5. Step 5: Solve for x
    x = 13,323,494.09/5,356.34
  6. Step 6: Final answer
    x = 2,487.43

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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.