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Finding the Fourth Proportional to 3,589.28, 4,948 and 2,592.98

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Solution

The fourth proportional to 3,589.28, 4,948 and 2,592.98 is: 3,574.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.28 : 4,948 = 2,592.98 : x
  2. Step 2: Convert to fraction form
    3,589.28/4,948 = 2,592.98/x
  3. Step 3: Cross multiply
    3,589.28x = 4,948 × 2,592.98
  4. Step 4: Simplify right side
    3,589.28x = 12,830,065.04
  5. Step 5: Solve for x
    x = 12,830,065.04/3,589.28
  6. Step 6: Final answer
    x = 3,574.55

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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.