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Finding the Fourth Proportional to 3,648.81, 5,035.66 and 2,077.01

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Solution

The fourth proportional to 3,648.81, 5,035.66 and 2,077.01 is: 2,866.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.81 : 5,035.66 = 2,077.01 : x
  2. Step 2: Convert to fraction form
    3,648.81/5,035.66 = 2,077.01/x
  3. Step 3: Cross multiply
    3,648.81x = 5,035.66 × 2,077.01
  4. Step 4: Simplify right side
    3,648.81x = 10,459,085.81
  5. Step 5: Solve for x
    x = 10,459,085.81/3,648.81
  6. Step 6: Final answer
    x = 2,866.44

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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.