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Finding the Fourth Proportional to 5,210.60, 7,822.30 and 2,615.40

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Solution

The fourth proportional to 5,210.60, 7,822.30 and 2,615.40 is: 3,926.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.60 : 7,822.30 = 2,615.40 : x
  2. Step 2: Convert to fraction form
    5,210.60/7,822.30 = 2,615.40/x
  3. Step 3: Cross multiply
    5,210.60x = 7,822.30 × 2,615.40
  4. Step 4: Simplify right side
    5,210.60x = 20,458,443.42
  5. Step 5: Solve for x
    x = 20,458,443.42/5,210.60
  6. Step 6: Final answer
    x = 3,926.31

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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.