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Finding the Fourth Proportional to 5,200.51, 7,800.82 and 1,304.93

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Solution

The fourth proportional to 5,200.51, 7,800.82 and 1,304.93 is: 1,957.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.51 : 7,800.82 = 1,304.93 : x
  2. Step 2: Convert to fraction form
    5,200.51/7,800.82 = 1,304.93/x
  3. Step 3: Cross multiply
    5,200.51x = 7,800.82 × 1,304.93
  4. Step 4: Simplify right side
    5,200.51x = 10,179,524.04
  5. Step 5: Solve for x
    x = 10,179,524.04/5,200.51
  6. Step 6: Final answer
    x = 1,957.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.