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Finding the Fourth Proportional to 5,653.42, 8,478.60 and 2,365.84

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Solution

The fourth proportional to 5,653.42, 8,478.60 and 2,365.84 is: 3,548.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.42 : 8,478.60 = 2,365.84 : x
  2. Step 2: Convert to fraction form
    5,653.42/8,478.60 = 2,365.84/x
  3. Step 3: Cross multiply
    5,653.42x = 8,478.60 × 2,365.84
  4. Step 4: Simplify right side
    5,653.42x = 20,059,011.02
  5. Step 5: Solve for x
    x = 20,059,011.02/5,653.42
  6. Step 6: Final answer
    x = 3,548.12

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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.