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Finding the Fourth Proportional to 3,649.77, 5,036.13 and 2,056.14

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Solution

The fourth proportional to 3,649.77, 5,036.13 and 2,056.14 is: 2,837.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.77 : 5,036.13 = 2,056.14 : x
  2. Step 2: Convert to fraction form
    3,649.77/5,036.13 = 2,056.14/x
  3. Step 3: Cross multiply
    3,649.77x = 5,036.13 × 2,056.14
  4. Step 4: Simplify right side
    3,649.77x = 10,354,988.34
  5. Step 5: Solve for x
    x = 10,354,988.34/3,649.77
  6. Step 6: Final answer
    x = 2,837.16

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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.