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Finding the Fourth Proportional to 5,824.64, 8,038.08 and 3,306.56

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Solution

The fourth proportional to 5,824.64, 8,038.08 and 3,306.56 is: 4,563.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.64 : 8,038.08 = 3,306.56 : x
  2. Step 2: Convert to fraction form
    5,824.64/8,038.08 = 3,306.56/x
  3. Step 3: Cross multiply
    5,824.64x = 8,038.08 × 3,306.56
  4. Step 4: Simplify right side
    5,824.64x = 26,578,393.80
  5. Step 5: Solve for x
    x = 26,578,393.80/5,824.64
  6. Step 6: Final answer
    x = 4,563.10

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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.