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Finding the Fourth Proportional to 5,385.56, 7,430.24 and 3,027.20

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Solution

The fourth proportional to 5,385.56, 7,430.24 and 3,027.20 is: 4,176.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.56 : 7,430.24 = 3,027.20 : x
  2. Step 2: Convert to fraction form
    5,385.56/7,430.24 = 3,027.20/x
  3. Step 3: Cross multiply
    5,385.56x = 7,430.24 × 3,027.20
  4. Step 4: Simplify right side
    5,385.56x = 22,492,822.53
  5. Step 5: Solve for x
    x = 22,492,822.53/5,385.56
  6. Step 6: Final answer
    x = 4,176.51

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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.