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Finding the Fourth Proportional to 4,782.09, 6,600 and 3,442.13

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Solution

The fourth proportional to 4,782.09, 6,600 and 3,442.13 is: 4,750.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.09 : 6,600 = 3,442.13 : x
  2. Step 2: Convert to fraction form
    4,782.09/6,600 = 3,442.13/x
  3. Step 3: Cross multiply
    4,782.09x = 6,600 × 3,442.13
  4. Step 4: Simplify right side
    4,782.09x = 22,718,058
  5. Step 5: Solve for x
    x = 22,718,058/4,782.09
  6. Step 6: Final answer
    x = 4,750.65

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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.