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Finding the Fourth Proportional to 3,588.30, 5,354.10 and 3,102.30

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Solution

The fourth proportional to 3,588.30, 5,354.10 and 3,102.30 is: 4,628.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.30 : 5,354.10 = 3,102.30 : x
  2. Step 2: Convert to fraction form
    3,588.30/5,354.10 = 3,102.30/x
  3. Step 3: Cross multiply
    3,588.30x = 5,354.10 × 3,102.30
  4. Step 4: Simplify right side
    3,588.30x = 16,610,024.43
  5. Step 5: Solve for x
    x = 16,610,024.43/3,588.30
  6. Step 6: Final answer
    x = 4,628.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.