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Finding the Fourth Proportional to 5,214.58, 7,823.71 and 3,466.53

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Solution

The fourth proportional to 5,214.58, 7,823.71 and 3,466.53 is: 5,201.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.58 : 7,823.71 = 3,466.53 : x
  2. Step 2: Convert to fraction form
    5,214.58/7,823.71 = 3,466.53/x
  3. Step 3: Cross multiply
    5,214.58x = 7,823.71 × 3,466.53
  4. Step 4: Simplify right side
    5,214.58x = 27,121,125.43
  5. Step 5: Solve for x
    x = 27,121,125.43/5,214.58
  6. Step 6: Final answer
    x = 5,201.02

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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.