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Finding the Fourth Proportional to 3,492.83, 5,239.25 and 1,298.95

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Solution

The fourth proportional to 3,492.83, 5,239.25 and 1,298.95 is: 1,948.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.83 : 5,239.25 = 1,298.95 : x
  2. Step 2: Convert to fraction form
    3,492.83/5,239.25 = 1,298.95/x
  3. Step 3: Cross multiply
    3,492.83x = 5,239.25 × 1,298.95
  4. Step 4: Simplify right side
    3,492.83x = 6,805,523.79
  5. Step 5: Solve for x
    x = 6,805,523.79/3,492.83
  6. Step 6: Final answer
    x = 1,948.43

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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.