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Finding the Fourth Proportional to 5,698.84, 8,549.16 and 2,001.28

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Solution

The fourth proportional to 5,698.84, 8,549.16 and 2,001.28 is: 3,002.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.84 : 8,549.16 = 2,001.28 : x
  2. Step 2: Convert to fraction form
    5,698.84/8,549.16 = 2,001.28/x
  3. Step 3: Cross multiply
    5,698.84x = 8,549.16 × 2,001.28
  4. Step 4: Simplify right side
    5,698.84x = 17,109,262.92
  5. Step 5: Solve for x
    x = 17,109,262.92/5,698.84
  6. Step 6: Final answer
    x = 3,002.24

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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.