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Finding the Fourth Proportional to 5,284.81, 7,276.41 and 4,486.46

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Solution

The fourth proportional to 5,284.81, 7,276.41 and 4,486.46 is: 6,177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,284.81 : 7,276.41 = 4,486.46 : x
  2. Step 2: Convert to fraction form
    5,284.81/7,276.41 = 4,486.46/x
  3. Step 3: Cross multiply
    5,284.81x = 7,276.41 × 4,486.46
  4. Step 4: Simplify right side
    5,284.81x = 32,645,322.41
  5. Step 5: Solve for x
    x = 32,645,322.41/5,284.81
  6. Step 6: Final answer
    x = 6,177.20

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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.