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Finding the Fourth Proportional to 5,086.28, 7,592.77 and 4,430

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Solution

The fourth proportional to 5,086.28, 7,592.77 and 4,430 is: 6,613.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086.28 : 7,592.77 = 4,430 : x
  2. Step 2: Convert to fraction form
    5,086.28/7,592.77 = 4,430/x
  3. Step 3: Cross multiply
    5,086.28x = 7,592.77 × 4,430
  4. Step 4: Simplify right side
    5,086.28x = 33,635,971.10
  5. Step 5: Solve for x
    x = 33,635,971.10/5,086.28
  6. Step 6: Final answer
    x = 6,613.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.