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Finding the Fourth Proportional to 4,384.53, 6,577.79 and 1,264.56

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Solution

The fourth proportional to 4,384.53, 6,577.79 and 1,264.56 is: 1,897.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384.53 : 6,577.79 = 1,264.56 : x
  2. Step 2: Convert to fraction form
    4,384.53/6,577.79 = 1,264.56/x
  3. Step 3: Cross multiply
    4,384.53x = 6,577.79 × 1,264.56
  4. Step 4: Simplify right side
    4,384.53x = 8,318,003.80
  5. Step 5: Solve for x
    x = 8,318,003.80/4,384.53
  6. Step 6: Final answer
    x = 1,897.13

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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.