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Finding the Fourth Proportional to 3,897.78, 5,846.69 and 976.10

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Solution

The fourth proportional to 3,897.78, 5,846.69 and 976.10 is: 1,464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.78 : 5,846.69 = 976.10 : x
  2. Step 2: Convert to fraction form
    3,897.78/5,846.69 = 976.10/x
  3. Step 3: Cross multiply
    3,897.78x = 5,846.69 × 976.10
  4. Step 4: Simplify right side
    3,897.78x = 5,706,920.00
  5. Step 5: Solve for x
    x = 5,706,920.00/3,897.78
  6. Step 6: Final answer
    x = 1,464.15

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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.