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Finding the Fourth Proportional to 4,737.75, 6,538.23 and 2,642.01

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Solution

The fourth proportional to 4,737.75, 6,538.23 and 2,642.01 is: 3,646.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.75 : 6,538.23 = 2,642.01 : x
  2. Step 2: Convert to fraction form
    4,737.75/6,538.23 = 2,642.01/x
  3. Step 3: Cross multiply
    4,737.75x = 6,538.23 × 2,642.01
  4. Step 4: Simplify right side
    4,737.75x = 17,274,069.04
  5. Step 5: Solve for x
    x = 17,274,069.04/4,737.75
  6. Step 6: Final answer
    x = 3,646.05

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