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Finding the Fourth Proportional to 3,502.04, 4,832.06 and 2,009.64

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Solution

The fourth proportional to 3,502.04, 4,832.06 and 2,009.64 is: 2,772.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.04 : 4,832.06 = 2,009.64 : x
  2. Step 2: Convert to fraction form
    3,502.04/4,832.06 = 2,009.64/x
  3. Step 3: Cross multiply
    3,502.04x = 4,832.06 × 2,009.64
  4. Step 4: Simplify right side
    3,502.04x = 9,710,701.06
  5. Step 5: Solve for x
    x = 9,710,701.06/3,502.04
  6. Step 6: Final answer
    x = 2,772.87

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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.