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Finding the Fourth Proportional to 3,491.84, 5,237.91 and 1,152.04

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Solution

The fourth proportional to 3,491.84, 5,237.91 and 1,152.04 is: 1,728.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.84 : 5,237.91 = 1,152.04 : x
  2. Step 2: Convert to fraction form
    3,491.84/5,237.91 = 1,152.04/x
  3. Step 3: Cross multiply
    3,491.84x = 5,237.91 × 1,152.04
  4. Step 4: Simplify right side
    3,491.84x = 6,034,307.80
  5. Step 5: Solve for x
    x = 6,034,307.80/3,491.84
  6. Step 6: Final answer
    x = 1,728.12

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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.