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Finding the Fourth Proportional to 4,776.95, 7,165.43 and 1,857.31

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Solution

The fourth proportional to 4,776.95, 7,165.43 and 1,857.31 is: 2,785.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.95 : 7,165.43 = 1,857.31 : x
  2. Step 2: Convert to fraction form
    4,776.95/7,165.43 = 1,857.31/x
  3. Step 3: Cross multiply
    4,776.95x = 7,165.43 × 1,857.31
  4. Step 4: Simplify right side
    4,776.95x = 13,308,424.79
  5. Step 5: Solve for x
    x = 13,308,424.79/4,776.95
  6. Step 6: Final answer
    x = 2,785.97

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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.