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Finding the Fourth Proportional to 5,243.36, 7,866.08 and 1,780.48

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Solution

The fourth proportional to 5,243.36, 7,866.08 and 1,780.48 is: 2,671.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.36 : 7,866.08 = 1,780.48 : x
  2. Step 2: Convert to fraction form
    5,243.36/7,866.08 = 1,780.48/x
  3. Step 3: Cross multiply
    5,243.36x = 7,866.08 × 1,780.48
  4. Step 4: Simplify right side
    5,243.36x = 14,005,398.12
  5. Step 5: Solve for x
    x = 14,005,398.12/5,243.36
  6. Step 6: Final answer
    x = 2,671.07

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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.