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Finding the Fourth Proportional to 4,738.02, 6,538.38 and 2,642.16

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Solution

The fourth proportional to 4,738.02, 6,538.38 and 2,642.16 is: 3,646.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.02 : 6,538.38 = 2,642.16 : x
  2. Step 2: Convert to fraction form
    4,738.02/6,538.38 = 2,642.16/x
  3. Step 3: Cross multiply
    4,738.02x = 6,538.38 × 2,642.16
  4. Step 4: Simplify right side
    4,738.02x = 17,275,446.10
  5. Step 5: Solve for x
    x = 17,275,446.10/4,738.02
  6. Step 6: Final answer
    x = 3,646.13

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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.