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Finding the Fourth Proportional to 3,527.96, 4,869.10 and 2,036.12

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Solution

The fourth proportional to 3,527.96, 4,869.10 and 2,036.12 is: 2,810.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.96 : 4,869.10 = 2,036.12 : x
  2. Step 2: Convert to fraction form
    3,527.96/4,869.10 = 2,036.12/x
  3. Step 3: Cross multiply
    3,527.96x = 4,869.10 × 2,036.12
  4. Step 4: Simplify right side
    3,527.96x = 9,914,071.89
  5. Step 5: Solve for x
    x = 9,914,071.89/3,527.96
  6. Step 6: Final answer
    x = 2,810.14

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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.