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Finding the Fourth Proportional to 5,862.68, 8,090.51 and 3,210.09

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Solution

The fourth proportional to 5,862.68, 8,090.51 and 3,210.09 is: 4,429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.68 : 8,090.51 = 3,210.09 : x
  2. Step 2: Convert to fraction form
    5,862.68/8,090.51 = 3,210.09/x
  3. Step 3: Cross multiply
    5,862.68x = 8,090.51 × 3,210.09
  4. Step 4: Simplify right side
    5,862.68x = 25,971,249.20
  5. Step 5: Solve for x
    x = 25,971,249.20/5,862.68
  6. Step 6: Final answer
    x = 4,429.93

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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.