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Finding the Fourth Proportional to 5,862.81, 8,090.46 and 3,210.24

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Solution

The fourth proportional to 5,862.81, 8,090.46 and 3,210.24 is: 4,430.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.81 : 8,090.46 = 3,210.24 : x
  2. Step 2: Convert to fraction form
    5,862.81/8,090.46 = 3,210.24/x
  3. Step 3: Cross multiply
    5,862.81x = 8,090.46 × 3,210.24
  4. Step 4: Simplify right side
    5,862.81x = 25,972,318.31
  5. Step 5: Solve for x
    x = 25,972,318.31/5,862.81
  6. Step 6: Final answer
    x = 4,430.01

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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.