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Finding the Fourth Proportional to 5,823.40, 8,035.68 and 3,465.22

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Solution

The fourth proportional to 5,823.40, 8,035.68 and 3,465.22 is: 4,781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.40 : 8,035.68 = 3,465.22 : x
  2. Step 2: Convert to fraction form
    5,823.40/8,035.68 = 3,465.22/x
  3. Step 3: Cross multiply
    5,823.40x = 8,035.68 × 3,465.22
  4. Step 4: Simplify right side
    5,823.40x = 27,845,399.05
  5. Step 5: Solve for x
    x = 27,845,399.05/5,823.40
  6. Step 6: Final answer
    x = 4,781.64

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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.