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Finding the Fourth Proportional to 4,859.84, 7,288.43 and 1,349.01

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Solution

The fourth proportional to 4,859.84, 7,288.43 and 1,349.01 is: 2,023.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.84 : 7,288.43 = 1,349.01 : x
  2. Step 2: Convert to fraction form
    4,859.84/7,288.43 = 1,349.01/x
  3. Step 3: Cross multiply
    4,859.84x = 7,288.43 × 1,349.01
  4. Step 4: Simplify right side
    4,859.84x = 9,832,164.95
  5. Step 5: Solve for x
    x = 9,832,164.95/4,859.84
  6. Step 6: Final answer
    x = 2,023.15

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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.