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Finding the Fourth Proportional to 3,492.18, 5,239.08 and 1,543.32

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Solution

The fourth proportional to 3,492.18, 5,239.08 and 1,543.32 is: 2,315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.18 : 5,239.08 = 1,543.32 : x
  2. Step 2: Convert to fraction form
    3,492.18/5,239.08 = 1,543.32/x
  3. Step 3: Cross multiply
    3,492.18x = 5,239.08 × 1,543.32
  4. Step 4: Simplify right side
    3,492.18x = 8,085,576.95
  5. Step 5: Solve for x
    x = 8,085,576.95/3,492.18
  6. Step 6: Final answer
    x = 2,315.34

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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.