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Finding the Fourth Proportional to 5,643.30, 8,464.95 and 2,355.30

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Solution

The fourth proportional to 5,643.30, 8,464.95 and 2,355.30 is: 3,532.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.30 : 8,464.95 = 2,355.30 : x
  2. Step 2: Convert to fraction form
    5,643.30/8,464.95 = 2,355.30/x
  3. Step 3: Cross multiply
    5,643.30x = 8,464.95 × 2,355.30
  4. Step 4: Simplify right side
    5,643.30x = 19,937,496.74
  5. Step 5: Solve for x
    x = 19,937,496.74/5,643.30
  6. Step 6: Final answer
    x = 3,532.95

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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.