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Finding the Fourth Proportional to 3,547.32, 5,321.94 and 1,082.40

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Solution

The fourth proportional to 3,547.32, 5,321.94 and 1,082.40 is: 1,623.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.32 : 5,321.94 = 1,082.40 : x
  2. Step 2: Convert to fraction form
    3,547.32/5,321.94 = 1,082.40/x
  3. Step 3: Cross multiply
    3,547.32x = 5,321.94 × 1,082.40
  4. Step 4: Simplify right side
    3,547.32x = 5,760,467.86
  5. Step 5: Solve for x
    x = 5,760,467.86/3,547.32
  6. Step 6: Final answer
    x = 1,623.89

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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.