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Finding the Fourth Proportional to 5,957.84, 8,938.20 and 2,065.04

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Solution

The fourth proportional to 5,957.84, 8,938.20 and 2,065.04 is: 3,098.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.84 : 8,938.20 = 2,065.04 : x
  2. Step 2: Convert to fraction form
    5,957.84/8,938.20 = 2,065.04/x
  3. Step 3: Cross multiply
    5,957.84x = 8,938.20 × 2,065.04
  4. Step 4: Simplify right side
    5,957.84x = 18,457,740.53
  5. Step 5: Solve for x
    x = 18,457,740.53/5,957.84
  6. Step 6: Final answer
    x = 3,098.06

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Why These Related Problems?

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