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Finding the Fourth Proportional to 3,730.84, 5,595.48 and 1,133.20

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Solution

The fourth proportional to 3,730.84, 5,595.48 and 1,133.20 is: 1,699.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.84 : 5,595.48 = 1,133.20 : x
  2. Step 2: Convert to fraction form
    3,730.84/5,595.48 = 1,133.20/x
  3. Step 3: Cross multiply
    3,730.84x = 5,595.48 × 1,133.20
  4. Step 4: Simplify right side
    3,730.84x = 6,340,797.94
  5. Step 5: Solve for x
    x = 6,340,797.94/3,730.84
  6. Step 6: Final answer
    x = 1,699.56

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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.