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Finding the Fourth Proportional to 5,753.34, 7,928.55 and 4,094.46

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Solution

The fourth proportional to 5,753.34, 7,928.55 and 4,094.46 is: 5,642.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.34 : 7,928.55 = 4,094.46 : x
  2. Step 2: Convert to fraction form
    5,753.34/7,928.55 = 4,094.46/x
  3. Step 3: Cross multiply
    5,753.34x = 7,928.55 × 4,094.46
  4. Step 4: Simplify right side
    5,753.34x = 32,463,130.83
  5. Step 5: Solve for x
    x = 32,463,130.83/5,753.34
  6. Step 6: Final answer
    x = 5,642.48

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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.