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Finding the Fourth Proportional to 4,170.02, 6,230.57 and 4,024.69

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Solution

The fourth proportional to 4,170.02, 6,230.57 and 4,024.69 is: 6,013.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.02 : 6,230.57 = 4,024.69 : x
  2. Step 2: Convert to fraction form
    4,170.02/6,230.57 = 4,024.69/x
  3. Step 3: Cross multiply
    4,170.02x = 6,230.57 × 4,024.69
  4. Step 4: Simplify right side
    4,170.02x = 25,076,077.07
  5. Step 5: Solve for x
    x = 25,076,077.07/4,170.02
  6. Step 6: Final answer
    x = 6,013.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.