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Finding the Fourth Proportional to 4,356.62, 6,534.30 and 1,758.95

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Solution

The fourth proportional to 4,356.62, 6,534.30 and 1,758.95 is: 2,638.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,356.62 : 6,534.30 = 1,758.95 : x
  2. Step 2: Convert to fraction form
    4,356.62/6,534.30 = 1,758.95/x
  3. Step 3: Cross multiply
    4,356.62x = 6,534.30 × 1,758.95
  4. Step 4: Simplify right side
    4,356.62x = 11,493,474.31
  5. Step 5: Solve for x
    x = 11,493,474.31/4,356.62
  6. Step 6: Final answer
    x = 2,638.17

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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.