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Finding the Fourth Proportional to 3,291.06, 4,936.50 and 1,534.17

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Solution

The fourth proportional to 3,291.06, 4,936.50 and 1,534.17 is: 2,301.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.06 : 4,936.50 = 1,534.17 : x
  2. Step 2: Convert to fraction form
    3,291.06/4,936.50 = 1,534.17/x
  3. Step 3: Cross multiply
    3,291.06x = 4,936.50 × 1,534.17
  4. Step 4: Simplify right side
    3,291.06x = 7,573,430.21
  5. Step 5: Solve for x
    x = 7,573,430.21/3,291.06
  6. Step 6: Final answer
    x = 2,301.21

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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.