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Finding the Fourth Proportional to 5,036.64, 7,581.47 and 4,284.96

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Solution

The fourth proportional to 5,036.64, 7,581.47 and 4,284.96 is: 6,449.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,036.64 : 7,581.47 = 4,284.96 : x
  2. Step 2: Convert to fraction form
    5,036.64/7,581.47 = 4,284.96/x
  3. Step 3: Cross multiply
    5,036.64x = 7,581.47 × 4,284.96
  4. Step 4: Simplify right side
    5,036.64x = 32,486,274.27
  5. Step 5: Solve for x
    x = 32,486,274.27/5,036.64
  6. Step 6: Final answer
    x = 6,449.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.