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Finding the Fourth Proportional to 3,438.84, 5,158.53 and 1,706.52

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Solution

The fourth proportional to 3,438.84, 5,158.53 and 1,706.52 is: 2,559.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.84 : 5,158.53 = 1,706.52 : x
  2. Step 2: Convert to fraction form
    3,438.84/5,158.53 = 1,706.52/x
  3. Step 3: Cross multiply
    3,438.84x = 5,158.53 × 1,706.52
  4. Step 4: Simplify right side
    3,438.84x = 8,803,134.62
  5. Step 5: Solve for x
    x = 8,803,134.62/3,438.84
  6. Step 6: Final answer
    x = 2,559.91

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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.