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Finding the Fourth Proportional to 5,278.16, 7,918.40 and 1,768.28

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Solution

The fourth proportional to 5,278.16, 7,918.40 and 1,768.28 is: 2,652.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.16 : 7,918.40 = 1,768.28 : x
  2. Step 2: Convert to fraction form
    5,278.16/7,918.40 = 1,768.28/x
  3. Step 3: Cross multiply
    5,278.16x = 7,918.40 × 1,768.28
  4. Step 4: Simplify right side
    5,278.16x = 14,001,913.18
  5. Step 5: Solve for x
    x = 14,001,913.18/5,278.16
  6. Step 6: Final answer
    x = 2,652.80

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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.