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Finding the Fourth Proportional to 3,527.32, 4,867.47 and 2,035.30

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Solution

The fourth proportional to 3,527.32, 4,867.47 and 2,035.30 is: 2,808.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.32 : 4,867.47 = 2,035.30 : x
  2. Step 2: Convert to fraction form
    3,527.32/4,867.47 = 2,035.30/x
  3. Step 3: Cross multiply
    3,527.32x = 4,867.47 × 2,035.30
  4. Step 4: Simplify right side
    3,527.32x = 9,906,751.51
  5. Step 5: Solve for x
    x = 9,906,751.51/3,527.32
  6. Step 6: Final answer
    x = 2,808.58

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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.