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Finding the Fourth Proportional to 5,999.88, 8,280 and 4,232.10

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Solution

The fourth proportional to 5,999.88, 8,280 and 4,232.10 is: 5,840.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,999.88 : 8,280 = 4,232.10 : x
  2. Step 2: Convert to fraction form
    5,999.88/8,280 = 4,232.10/x
  3. Step 3: Cross multiply
    5,999.88x = 8,280 × 4,232.10
  4. Step 4: Simplify right side
    5,999.88x = 35,041,788
  5. Step 5: Solve for x
    x = 35,041,788/5,999.88
  6. Step 6: Final answer
    x = 5,840.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.