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Finding the Fourth Proportional to 3,649.34, 5,036.06 and 2,055.98

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Solution

The fourth proportional to 3,649.34, 5,036.06 and 2,055.98 is: 2,837.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.34 : 5,036.06 = 2,055.98 : x
  2. Step 2: Convert to fraction form
    3,649.34/5,036.06 = 2,055.98/x
  3. Step 3: Cross multiply
    3,649.34x = 5,036.06 × 2,055.98
  4. Step 4: Simplify right side
    3,649.34x = 10,354,038.64
  5. Step 5: Solve for x
    x = 10,354,038.64/3,649.34
  6. Step 6: Final answer
    x = 2,837.24

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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.