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Finding the Fourth Proportional to 5,643.60, 7,784.98 and 3,544.08

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Solution

The fourth proportional to 5,643.60, 7,784.98 and 3,544.08 is: 4,888.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.60 : 7,784.98 = 3,544.08 : x
  2. Step 2: Convert to fraction form
    5,643.60/7,784.98 = 3,544.08/x
  3. Step 3: Cross multiply
    5,643.60x = 7,784.98 × 3,544.08
  4. Step 4: Simplify right side
    5,643.60x = 27,590,591.92
  5. Step 5: Solve for x
    x = 27,590,591.92/5,643.60
  6. Step 6: Final answer
    x = 4,888.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.