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Finding the Fourth Proportional to 3,848.16, 5,771.01 and 1,655.49

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Solution

The fourth proportional to 3,848.16, 5,771.01 and 1,655.49 is: 2,482.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.16 : 5,771.01 = 1,655.49 : x
  2. Step 2: Convert to fraction form
    3,848.16/5,771.01 = 1,655.49/x
  3. Step 3: Cross multiply
    3,848.16x = 5,771.01 × 1,655.49
  4. Step 4: Simplify right side
    3,848.16x = 9,553,849.34
  5. Step 5: Solve for x
    x = 9,553,849.34/3,848.16
  6. Step 6: Final answer
    x = 2,482.71

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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.