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Finding the Fourth Proportional to 3,267.46, 4,897.95 and 1,534.06

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Solution

The fourth proportional to 3,267.46, 4,897.95 and 1,534.06 is: 2,299.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.46 : 4,897.95 = 1,534.06 : x
  2. Step 2: Convert to fraction form
    3,267.46/4,897.95 = 1,534.06/x
  3. Step 3: Cross multiply
    3,267.46x = 4,897.95 × 1,534.06
  4. Step 4: Simplify right side
    3,267.46x = 7,513,749.18
  5. Step 5: Solve for x
    x = 7,513,749.18/3,267.46
  6. Step 6: Final answer
    x = 2,299.57

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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.