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Finding the Fourth Proportional to 5,798.64, 7,998 and 5,328

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Solution

The fourth proportional to 5,798.64, 7,998 and 5,328 is: 7,348.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.64 : 7,998 = 5,328 : x
  2. Step 2: Convert to fraction form
    5,798.64/7,998 = 5,328/x
  3. Step 3: Cross multiply
    5,798.64x = 7,998 × 5,328
  4. Step 4: Simplify right side
    5,798.64x = 42,613,344
  5. Step 5: Solve for x
    x = 42,613,344/5,798.64
  6. Step 6: Final answer
    x = 7,348.85

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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.