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Finding the Fourth Proportional to 5,822.90, 8,035.02 and 3,464.60

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Solution

The fourth proportional to 5,822.90, 8,035.02 and 3,464.60 is: 4,780.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.90 : 8,035.02 = 3,464.60 : x
  2. Step 2: Convert to fraction form
    5,822.90/8,035.02 = 3,464.60/x
  3. Step 3: Cross multiply
    5,822.90x = 8,035.02 × 3,464.60
  4. Step 4: Simplify right side
    5,822.90x = 27,838,130.29
  5. Step 5: Solve for x
    x = 27,838,130.29/5,822.90
  6. Step 6: Final answer
    x = 4,780.80

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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.