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Finding the Fourth Proportional to 5,368, 7,391.60 and 4,761.84

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Solution

The fourth proportional to 5,368, 7,391.60 and 4,761.84 is: 6,556.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368 : 7,391.60 = 4,761.84 : x
  2. Step 2: Convert to fraction form
    5,368/7,391.60 = 4,761.84/x
  3. Step 3: Cross multiply
    5,368x = 7,391.60 × 4,761.84
  4. Step 4: Simplify right side
    5,368x = 35,197,616.54
  5. Step 5: Solve for x
    x = 35,197,616.54/5,368
  6. Step 6: Final answer
    x = 6,556.93

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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.