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Finding the Fourth Proportional to 5,797.20, 7,994.16 and 4,536

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Solution

The fourth proportional to 5,797.20, 7,994.16 and 4,536 is: 6,255.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.20 : 7,994.16 = 4,536 : x
  2. Step 2: Convert to fraction form
    5,797.20/7,994.16 = 4,536/x
  3. Step 3: Cross multiply
    5,797.20x = 7,994.16 × 4,536
  4. Step 4: Simplify right side
    5,797.20x = 36,261,509.76
  5. Step 5: Solve for x
    x = 36,261,509.76/5,797.20
  6. Step 6: Final answer
    x = 6,255.00

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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.