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Finding the Fourth Proportional to 5,323.30, 8,024.82 and 4,966.50

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Solution

The fourth proportional to 5,323.30, 8,024.82 and 4,966.50 is: 7,486.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.30 : 8,024.82 = 4,966.50 : x
  2. Step 2: Convert to fraction form
    5,323.30/8,024.82 = 4,966.50/x
  3. Step 3: Cross multiply
    5,323.30x = 8,024.82 × 4,966.50
  4. Step 4: Simplify right side
    5,323.30x = 39,855,268.53
  5. Step 5: Solve for x
    x = 39,855,268.53/5,323.30
  6. Step 6: Final answer
    x = 7,486.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.