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Finding the Fourth Proportional to 5,643.60, 8,465.04 and 2,523.84

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Solution

The fourth proportional to 5,643.60, 8,465.04 and 2,523.84 is: 3,785.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.60 : 8,465.04 = 2,523.84 : x
  2. Step 2: Convert to fraction form
    5,643.60/8,465.04 = 2,523.84/x
  3. Step 3: Cross multiply
    5,643.60x = 8,465.04 × 2,523.84
  4. Step 4: Simplify right side
    5,643.60x = 21,364,406.55
  5. Step 5: Solve for x
    x = 21,364,406.55/5,643.60
  6. Step 6: Final answer
    x = 3,785.60

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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.