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Finding the Fourth Proportional to 3,655.60, 5,044.71 and 1,977.01

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Solution

The fourth proportional to 3,655.60, 5,044.71 and 1,977.01 is: 2,728.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.60 : 5,044.71 = 1,977.01 : x
  2. Step 2: Convert to fraction form
    3,655.60/5,044.71 = 1,977.01/x
  3. Step 3: Cross multiply
    3,655.60x = 5,044.71 × 1,977.01
  4. Step 4: Simplify right side
    3,655.60x = 9,973,436.92
  5. Step 5: Solve for x
    x = 9,973,436.92/3,655.60
  6. Step 6: Final answer
    x = 2,728.26

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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.