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Finding the Fourth Proportional to 3,527.10, 4,868.01 and 2,034.77

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Solution

The fourth proportional to 3,527.10, 4,868.01 and 2,034.77 is: 2,808.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.10 : 4,868.01 = 2,034.77 : x
  2. Step 2: Convert to fraction form
    3,527.10/4,868.01 = 2,034.77/x
  3. Step 3: Cross multiply
    3,527.10x = 4,868.01 × 2,034.77
  4. Step 4: Simplify right side
    3,527.10x = 9,905,256.37
  5. Step 5: Solve for x
    x = 9,905,256.37/3,527.10
  6. Step 6: Final answer
    x = 2,808.33

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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.