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Finding the Fourth Proportional to 3,527.96, 4,868.17 and 2,035.94

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Solution

The fourth proportional to 3,527.96, 4,868.17 and 2,035.94 is: 2,809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.96 : 4,868.17 = 2,035.94 : x
  2. Step 2: Convert to fraction form
    3,527.96/4,868.17 = 2,035.94/x
  3. Step 3: Cross multiply
    3,527.96x = 4,868.17 × 2,035.94
  4. Step 4: Simplify right side
    3,527.96x = 9,911,272.60
  5. Step 5: Solve for x
    x = 9,911,272.60/3,527.96
  6. Step 6: Final answer
    x = 2,809.35

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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.