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Finding the Fourth Proportional to 3,047.29, 4,206.03 and 2,039.11

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Solution

The fourth proportional to 3,047.29, 4,206.03 and 2,039.11 is: 2,814.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.29 : 4,206.03 = 2,039.11 : x
  2. Step 2: Convert to fraction form
    3,047.29/4,206.03 = 2,039.11/x
  3. Step 3: Cross multiply
    3,047.29x = 4,206.03 × 2,039.11
  4. Step 4: Simplify right side
    3,047.29x = 8,576,547.32
  5. Step 5: Solve for x
    x = 8,576,547.32/3,047.29
  6. Step 6: Final answer
    x = 2,814.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.