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Finding the Fourth Proportional to 3,492.83, 5,238.71 and 1,152.88

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Solution

The fourth proportional to 3,492.83, 5,238.71 and 1,152.88 is: 1,729.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.83 : 5,238.71 = 1,152.88 : x
  2. Step 2: Convert to fraction form
    3,492.83/5,238.71 = 1,152.88/x
  3. Step 3: Cross multiply
    3,492.83x = 5,238.71 × 1,152.88
  4. Step 4: Simplify right side
    3,492.83x = 6,039,572.03
  5. Step 5: Solve for x
    x = 6,039,572.03/3,492.83
  6. Step 6: Final answer
    x = 1,729.13

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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.