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Finding the Fourth Proportional to 5,825.64, 8,036.04 and 3,468.60

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Solution

The fourth proportional to 5,825.64, 8,036.04 and 3,468.60 is: 4,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.64 : 8,036.04 = 3,468.60 : x
  2. Step 2: Convert to fraction form
    5,825.64/8,036.04 = 3,468.60/x
  3. Step 3: Cross multiply
    5,825.64x = 8,036.04 × 3,468.60
  4. Step 4: Simplify right side
    5,825.64x = 27,873,808.34
  5. Step 5: Solve for x
    x = 27,873,808.34/5,825.64
  6. Step 6: Final answer
    x = 4,784.68

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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.