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Finding the Fourth Proportional to 5,844.84, 8,769.60 and 3,509.28

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Solution

The fourth proportional to 5,844.84, 8,769.60 and 3,509.28 is: 5,265.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.84 : 8,769.60 = 3,509.28 : x
  2. Step 2: Convert to fraction form
    5,844.84/8,769.60 = 3,509.28/x
  3. Step 3: Cross multiply
    5,844.84x = 8,769.60 × 3,509.28
  4. Step 4: Simplify right side
    5,844.84x = 30,774,981.89
  5. Step 5: Solve for x
    x = 30,774,981.89/5,844.84
  6. Step 6: Final answer
    x = 5,265.32

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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.