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Finding the Fourth Proportional to 3,730.49, 5,595.74 and 1,776.77

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Solution

The fourth proportional to 3,730.49, 5,595.74 and 1,776.77 is: 2,665.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.49 : 5,595.74 = 1,776.77 : x
  2. Step 2: Convert to fraction form
    3,730.49/5,595.74 = 1,776.77/x
  3. Step 3: Cross multiply
    3,730.49x = 5,595.74 × 1,776.77
  4. Step 4: Simplify right side
    3,730.49x = 9,942,342.96
  5. Step 5: Solve for x
    x = 9,942,342.96/3,730.49
  6. Step 6: Final answer
    x = 2,665.16

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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.