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Finding the Fourth Proportional to 4,776.96, 7,166.16 and 1,490.31

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Solution

The fourth proportional to 4,776.96, 7,166.16 and 1,490.31 is: 2,235.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.96 : 7,166.16 = 1,490.31 : x
  2. Step 2: Convert to fraction form
    4,776.96/7,166.16 = 1,490.31/x
  3. Step 3: Cross multiply
    4,776.96x = 7,166.16 × 1,490.31
  4. Step 4: Simplify right side
    4,776.96x = 10,679,799.91
  5. Step 5: Solve for x
    x = 10,679,799.91/4,776.96
  6. Step 6: Final answer
    x = 2,235.69

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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.