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Finding the Fourth Proportional to 4,931, 6,807.17 and 3,165.60

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Solution

The fourth proportional to 4,931, 6,807.17 and 3,165.60 is: 4,370.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,931 : 6,807.17 = 3,165.60 : x
  2. Step 2: Convert to fraction form
    4,931/6,807.17 = 3,165.60/x
  3. Step 3: Cross multiply
    4,931x = 6,807.17 × 3,165.60
  4. Step 4: Simplify right side
    4,931x = 21,548,777.35
  5. Step 5: Solve for x
    x = 21,548,777.35/4,931
  6. Step 6: Final answer
    x = 4,370.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.