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Finding the Fourth Proportional to 5,408.74, 8,073.98 and 4,752.64

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Solution

The fourth proportional to 5,408.74, 8,073.98 and 4,752.64 is: 7,094.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.74 : 8,073.98 = 4,752.64 : x
  2. Step 2: Convert to fraction form
    5,408.74/8,073.98 = 4,752.64/x
  3. Step 3: Cross multiply
    5,408.74x = 8,073.98 × 4,752.64
  4. Step 4: Simplify right side
    5,408.74x = 38,372,720.31
  5. Step 5: Solve for x
    x = 38,372,720.31/5,408.74
  6. Step 6: Final answer
    x = 7,094.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.