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Finding the Fourth Proportional to 5,661.88, 8,492.54 and 2,698.16

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Solution

The fourth proportional to 5,661.88, 8,492.54 and 2,698.16 is: 4,047.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.88 : 8,492.54 = 2,698.16 : x
  2. Step 2: Convert to fraction form
    5,661.88/8,492.54 = 2,698.16/x
  3. Step 3: Cross multiply
    5,661.88x = 8,492.54 × 2,698.16
  4. Step 4: Simplify right side
    5,661.88x = 22,914,259.70
  5. Step 5: Solve for x
    x = 22,914,259.70/5,661.88
  6. Step 6: Final answer
    x = 4,047.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.