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Finding the Fourth Proportional to 5,809.71, 8,715.38 and 2,111.52

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Solution

The fourth proportional to 5,809.71, 8,715.38 and 2,111.52 is: 3,167.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.71 : 8,715.38 = 2,111.52 : x
  2. Step 2: Convert to fraction form
    5,809.71/8,715.38 = 2,111.52/x
  3. Step 3: Cross multiply
    5,809.71x = 8,715.38 × 2,111.52
  4. Step 4: Simplify right side
    5,809.71x = 18,402,699.18
  5. Step 5: Solve for x
    x = 18,402,699.18/5,809.71
  6. Step 6: Final answer
    x = 3,167.58

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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.