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Finding the Fourth Proportional to 5,665.09, 8,500.41 and 2,547.29

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Solution

The fourth proportional to 5,665.09, 8,500.41 and 2,547.29 is: 3,822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.09 : 8,500.41 = 2,547.29 : x
  2. Step 2: Convert to fraction form
    5,665.09/8,500.41 = 2,547.29/x
  3. Step 3: Cross multiply
    5,665.09x = 8,500.41 × 2,547.29
  4. Step 4: Simplify right side
    5,665.09x = 21,653,009.39
  5. Step 5: Solve for x
    x = 21,653,009.39/5,665.09
  6. Step 6: Final answer
    x = 3,822.19

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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.