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Finding the Fourth Proportional to 3,210.40, 4,398.16 and 3,090.46

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Solution

The fourth proportional to 3,210.40, 4,398.16 and 3,090.46 is: 4,233.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.40 : 4,398.16 = 3,090.46 : x
  2. Step 2: Convert to fraction form
    3,210.40/4,398.16 = 3,090.46/x
  3. Step 3: Cross multiply
    3,210.40x = 4,398.16 × 3,090.46
  4. Step 4: Simplify right side
    3,210.40x = 13,592,337.55
  5. Step 5: Solve for x
    x = 13,592,337.55/3,210.40
  6. Step 6: Final answer
    x = 4,233.85

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.