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Finding the Fourth Proportional to 3,547.07, 5,321.40 and 1,082.08

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Solution

The fourth proportional to 3,547.07, 5,321.40 and 1,082.08 is: 1,623.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.07 : 5,321.40 = 1,082.08 : x
  2. Step 2: Convert to fraction form
    3,547.07/5,321.40 = 1,082.08/x
  3. Step 3: Cross multiply
    3,547.07x = 5,321.40 × 1,082.08
  4. Step 4: Simplify right side
    3,547.07x = 5,758,180.51
  5. Step 5: Solve for x
    x = 5,758,180.51/3,547.07
  6. Step 6: Final answer
    x = 1,623.36

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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.