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Finding the Fourth Proportional to 5,192.42, 7,751.64 and 5,010.16

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Solution

The fourth proportional to 5,192.42, 7,751.64 and 5,010.16 is: 7,479.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.42 : 7,751.64 = 5,010.16 : x
  2. Step 2: Convert to fraction form
    5,192.42/7,751.64 = 5,010.16/x
  3. Step 3: Cross multiply
    5,192.42x = 7,751.64 × 5,010.16
  4. Step 4: Simplify right side
    5,192.42x = 38,836,956.66
  5. Step 5: Solve for x
    x = 38,836,956.66/5,192.42
  6. Step 6: Final answer
    x = 7,479.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.