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Finding the Fourth Proportional to 5,200.30, 7,800.45 and 2,284.30

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Solution

The fourth proportional to 5,200.30, 7,800.45 and 2,284.30 is: 3,426.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.30 : 7,800.45 = 2,284.30 : x
  2. Step 2: Convert to fraction form
    5,200.30/7,800.45 = 2,284.30/x
  3. Step 3: Cross multiply
    5,200.30x = 7,800.45 × 2,284.30
  4. Step 4: Simplify right side
    5,200.30x = 17,818,567.94
  5. Step 5: Solve for x
    x = 17,818,567.94/5,200.30
  6. Step 6: Final answer
    x = 3,426.45

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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.