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Finding the Fourth Proportional to 4,637.70, 6,400.02 and 2,541.82

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Solution

The fourth proportional to 4,637.70, 6,400.02 and 2,541.82 is: 3,507.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.70 : 6,400.02 = 2,541.82 : x
  2. Step 2: Convert to fraction form
    4,637.70/6,400.02 = 2,541.82/x
  3. Step 3: Cross multiply
    4,637.70x = 6,400.02 × 2,541.82
  4. Step 4: Simplify right side
    4,637.70x = 16,267,698.84
  5. Step 5: Solve for x
    x = 16,267,698.84/4,637.70
  6. Step 6: Final answer
    x = 3,507.71

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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.