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Finding the Fourth Proportional to 5,644.88, 8,469.88 and 2,360.06

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Solution

The fourth proportional to 5,644.88, 8,469.88 and 2,360.06 is: 3,541.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.88 : 8,469.88 = 2,360.06 : x
  2. Step 2: Convert to fraction form
    5,644.88/8,469.88 = 2,360.06/x
  3. Step 3: Cross multiply
    5,644.88x = 8,469.88 × 2,360.06
  4. Step 4: Simplify right side
    5,644.88x = 19,989,424.99
  5. Step 5: Solve for x
    x = 19,989,424.99/5,644.88
  6. Step 6: Final answer
    x = 3,541.16

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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.