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Finding the Fourth Proportional to 5,381.86, 7,430.28 and 4,267.30

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Solution

The fourth proportional to 5,381.86, 7,430.28 and 4,267.30 is: 5,891.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.86 : 7,430.28 = 4,267.30 : x
  2. Step 2: Convert to fraction form
    5,381.86/7,430.28 = 4,267.30/x
  3. Step 3: Cross multiply
    5,381.86x = 7,430.28 × 4,267.30
  4. Step 4: Simplify right side
    5,381.86x = 31,707,233.84
  5. Step 5: Solve for x
    x = 31,707,233.84/5,381.86
  6. Step 6: Final answer
    x = 5,891.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.