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Finding the Fourth Proportional to 4,497.95, 6,744 and 2,157.91

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Solution

The fourth proportional to 4,497.95, 6,744 and 2,157.91 is: 3,235.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.95 : 6,744 = 2,157.91 : x
  2. Step 2: Convert to fraction form
    4,497.95/6,744 = 2,157.91/x
  3. Step 3: Cross multiply
    4,497.95x = 6,744 × 2,157.91
  4. Step 4: Simplify right side
    4,497.95x = 14,552,945.04
  5. Step 5: Solve for x
    x = 14,552,945.04/4,497.95
  6. Step 6: Final answer
    x = 3,235.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.