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Finding the Fourth Proportional to 3,648.96, 5,035.68 and 2,077.02

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Solution

The fourth proportional to 3,648.96, 5,035.68 and 2,077.02 is: 2,866.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.96 : 5,035.68 = 2,077.02 : x
  2. Step 2: Convert to fraction form
    3,648.96/5,035.68 = 2,077.02/x
  3. Step 3: Cross multiply
    3,648.96x = 5,035.68 × 2,077.02
  4. Step 4: Simplify right side
    3,648.96x = 10,459,208.07
  5. Step 5: Solve for x
    x = 10,459,208.07/3,648.96
  6. Step 6: Final answer
    x = 2,866.35

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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.