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Finding the Fourth Proportional to 5,478.24, 7,560.16 and 2,994.24

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Solution

The fourth proportional to 5,478.24, 7,560.16 and 2,994.24 is: 4,132.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.24 : 7,560.16 = 2,994.24 : x
  2. Step 2: Convert to fraction form
    5,478.24/7,560.16 = 2,994.24/x
  3. Step 3: Cross multiply
    5,478.24x = 7,560.16 × 2,994.24
  4. Step 4: Simplify right side
    5,478.24x = 22,636,933.48
  5. Step 5: Solve for x
    x = 22,636,933.48/5,478.24
  6. Step 6: Final answer
    x = 4,132.15

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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.