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Finding the Fourth Proportional to 3,547.35, 5,324.91 and 2,068.20

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Solution

The fourth proportional to 3,547.35, 5,324.91 and 2,068.20 is: 3,104.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.35 : 5,324.91 = 2,068.20 : x
  2. Step 2: Convert to fraction form
    3,547.35/5,324.91 = 2,068.20/x
  3. Step 3: Cross multiply
    3,547.35x = 5,324.91 × 2,068.20
  4. Step 4: Simplify right side
    3,547.35x = 11,012,978.86
  5. Step 5: Solve for x
    x = 11,012,978.86/3,547.35
  6. Step 6: Final answer
    x = 3,104.57

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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.