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Finding the Fourth Proportional to 5,546.18, 7,656.55 and 4,284.41

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Solution

The fourth proportional to 5,546.18, 7,656.55 and 4,284.41 is: 5,914.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.18 : 7,656.55 = 4,284.41 : x
  2. Step 2: Convert to fraction form
    5,546.18/7,656.55 = 4,284.41/x
  3. Step 3: Cross multiply
    5,546.18x = 7,656.55 × 4,284.41
  4. Step 4: Simplify right side
    5,546.18x = 32,803,750.39
  5. Step 5: Solve for x
    x = 32,803,750.39/5,546.18
  6. Step 6: Final answer
    x = 5,914.65

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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.