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Finding the Fourth Proportional to 5,862.64, 8,090.18 and 3,210

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Solution

The fourth proportional to 5,862.64, 8,090.18 and 3,210 is: 4,429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.64 : 8,090.18 = 3,210 : x
  2. Step 2: Convert to fraction form
    5,862.64/8,090.18 = 3,210/x
  3. Step 3: Cross multiply
    5,862.64x = 8,090.18 × 3,210
  4. Step 4: Simplify right side
    5,862.64x = 25,969,477.80
  5. Step 5: Solve for x
    x = 25,969,477.80/5,862.64
  6. Step 6: Final answer
    x = 4,429.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.