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Finding the Fourth Proportional to 5,035.32, 6,950.76 and 4,902.84

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Solution

The fourth proportional to 5,035.32, 6,950.76 and 4,902.84 is: 6,767.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,035.32 : 6,950.76 = 4,902.84 : x
  2. Step 2: Convert to fraction form
    5,035.32/6,950.76 = 4,902.84/x
  3. Step 3: Cross multiply
    5,035.32x = 6,950.76 × 4,902.84
  4. Step 4: Simplify right side
    5,035.32x = 34,078,464.16
  5. Step 5: Solve for x
    x = 34,078,464.16/5,035.32
  6. Step 6: Final answer
    x = 6,767.88

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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.