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Finding the Fourth Proportional to 3,584.84, 5,380.40 and 2,490

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Solution

The fourth proportional to 3,584.84, 5,380.40 and 2,490 is: 3,737.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.84 : 5,380.40 = 2,490 : x
  2. Step 2: Convert to fraction form
    3,584.84/5,380.40 = 2,490/x
  3. Step 3: Cross multiply
    3,584.84x = 5,380.40 × 2,490
  4. Step 4: Simplify right side
    3,584.84x = 13,397,196
  5. Step 5: Solve for x
    x = 13,397,196/3,584.84
  6. Step 6: Final answer
    x = 3,737.18

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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.