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Finding the Fourth Proportional to 3,763.13, 5,646.05 and 2,006.28

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Solution

The fourth proportional to 3,763.13, 5,646.05 and 2,006.28 is: 3,010.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.13 : 5,646.05 = 2,006.28 : x
  2. Step 2: Convert to fraction form
    3,763.13/5,646.05 = 2,006.28/x
  3. Step 3: Cross multiply
    3,763.13x = 5,646.05 × 2,006.28
  4. Step 4: Simplify right side
    3,763.13x = 11,327,547.16
  5. Step 5: Solve for x
    x = 11,327,547.16/3,763.13
  6. Step 6: Final answer
    x = 3,010.14

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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.