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Finding the Fourth Proportional to 4,523.82, 6,783.30 and 1,402.49

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Solution

The fourth proportional to 4,523.82, 6,783.30 and 1,402.49 is: 2,102.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,523.82 : 6,783.30 = 1,402.49 : x
  2. Step 2: Convert to fraction form
    4,523.82/6,783.30 = 1,402.49/x
  3. Step 3: Cross multiply
    4,523.82x = 6,783.30 × 1,402.49
  4. Step 4: Simplify right side
    4,523.82x = 9,513,510.42
  5. Step 5: Solve for x
    x = 9,513,510.42/4,523.82
  6. Step 6: Final answer
    x = 2,102.98

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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.