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Finding the Fourth Proportional to 5,263.60, 7,885.80 and 4,284.40

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Solution

The fourth proportional to 5,263.60, 7,885.80 and 4,284.40 is: 6,418.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.60 : 7,885.80 = 4,284.40 : x
  2. Step 2: Convert to fraction form
    5,263.60/7,885.80 = 4,284.40/x
  3. Step 3: Cross multiply
    5,263.60x = 7,885.80 × 4,284.40
  4. Step 4: Simplify right side
    5,263.60x = 33,785,921.52
  5. Step 5: Solve for x
    x = 33,785,921.52/5,263.60
  6. Step 6: Final answer
    x = 6,418.79

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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.