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Finding the Fourth Proportional to 3,264.98, 4,895.91 and 1,315.71

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Solution

The fourth proportional to 3,264.98, 4,895.91 and 1,315.71 is: 1,972.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.98 : 4,895.91 = 1,315.71 : x
  2. Step 2: Convert to fraction form
    3,264.98/4,895.91 = 1,315.71/x
  3. Step 3: Cross multiply
    3,264.98x = 4,895.91 × 1,315.71
  4. Step 4: Simplify right side
    3,264.98x = 6,441,597.75
  5. Step 5: Solve for x
    x = 6,441,597.75/3,264.98
  6. Step 6: Final answer
    x = 1,972.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.