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Finding the Fourth Proportional to 4,470, 6,168.87 and 2,607

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Solution

The fourth proportional to 4,470, 6,168.87 and 2,607 is: 3,597.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470 : 6,168.87 = 2,607 : x
  2. Step 2: Convert to fraction form
    4,470/6,168.87 = 2,607/x
  3. Step 3: Cross multiply
    4,470x = 6,168.87 × 2,607
  4. Step 4: Simplify right side
    4,470x = 16,082,244.09
  5. Step 5: Solve for x
    x = 16,082,244.09/4,470
  6. Step 6: Final answer
    x = 3,597.82

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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.