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Finding the Fourth Proportional to 5,902.64, 8,145.64 and 3,250.06

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Solution

The fourth proportional to 5,902.64, 8,145.64 and 3,250.06 is: 4,485.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.64 : 8,145.64 = 3,250.06 : x
  2. Step 2: Convert to fraction form
    5,902.64/8,145.64 = 3,250.06/x
  3. Step 3: Cross multiply
    5,902.64x = 8,145.64 × 3,250.06
  4. Step 4: Simplify right side
    5,902.64x = 26,473,818.74
  5. Step 5: Solve for x
    x = 26,473,818.74/5,902.64
  6. Step 6: Final answer
    x = 4,485.08

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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.