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Finding the Fourth Proportional to 4,277.71, 6,416.62 and 1,937.25

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Solution

The fourth proportional to 4,277.71, 6,416.62 and 1,937.25 is: 2,905.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.71 : 6,416.62 = 1,937.25 : x
  2. Step 2: Convert to fraction form
    4,277.71/6,416.62 = 1,937.25/x
  3. Step 3: Cross multiply
    4,277.71x = 6,416.62 × 1,937.25
  4. Step 4: Simplify right side
    4,277.71x = 12,430,592.25
  5. Step 5: Solve for x
    x = 12,430,592.25/4,277.71
  6. Step 6: Final answer
    x = 2,905.90

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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.