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Finding the Fourth Proportional to 5,393.95, 7,443.46 and 3,003.84

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Solution

The fourth proportional to 5,393.95, 7,443.46 and 3,003.84 is: 4,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.95 : 7,443.46 = 3,003.84 : x
  2. Step 2: Convert to fraction form
    5,393.95/7,443.46 = 3,003.84/x
  3. Step 3: Cross multiply
    5,393.95x = 7,443.46 × 3,003.84
  4. Step 4: Simplify right side
    5,393.95x = 22,358,962.89
  5. Step 5: Solve for x
    x = 22,358,962.89/5,393.95
  6. Step 6: Final answer
    x = 4,145.19

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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.