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Finding the Fourth Proportional to 5,393.76, 7,442.78 and 3,035.84

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Solution

The fourth proportional to 5,393.76, 7,442.78 and 3,035.84 is: 4,189.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.76 : 7,442.78 = 3,035.84 : x
  2. Step 2: Convert to fraction form
    5,393.76/7,442.78 = 3,035.84/x
  3. Step 3: Cross multiply
    5,393.76x = 7,442.78 × 3,035.84
  4. Step 4: Simplify right side
    5,393.76x = 22,595,089.24
  5. Step 5: Solve for x
    x = 22,595,089.24/5,393.76
  6. Step 6: Final answer
    x = 4,189.12

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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.