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Finding the Fourth Proportional to 5,250.84, 7,866.96 and 4,678.80

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Solution

The fourth proportional to 5,250.84, 7,866.96 and 4,678.80 is: 7,009.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250.84 : 7,866.96 = 4,678.80 : x
  2. Step 2: Convert to fraction form
    5,250.84/7,866.96 = 4,678.80/x
  3. Step 3: Cross multiply
    5,250.84x = 7,866.96 × 4,678.80
  4. Step 4: Simplify right side
    5,250.84x = 36,807,932.45
  5. Step 5: Solve for x
    x = 36,807,932.45/5,250.84
  6. Step 6: Final answer
    x = 7,009.91

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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.