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Finding the Fourth Proportional to 3,649.77, 5,036.55 and 2,056.51

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Solution

The fourth proportional to 3,649.77, 5,036.55 and 2,056.51 is: 2,837.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.77 : 5,036.55 = 2,056.51 : x
  2. Step 2: Convert to fraction form
    3,649.77/5,036.55 = 2,056.51/x
  3. Step 3: Cross multiply
    3,649.77x = 5,036.55 × 2,056.51
  4. Step 4: Simplify right side
    3,649.77x = 10,357,714.02
  5. Step 5: Solve for x
    x = 10,357,714.02/3,649.77
  6. Step 6: Final answer
    x = 2,837.91

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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.