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Finding the Fourth Proportional to 5,145.52, 7,102.02 and 3,653.90

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Solution

The fourth proportional to 5,145.52, 7,102.02 and 3,653.90 is: 5,043.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.52 : 7,102.02 = 3,653.90 : x
  2. Step 2: Convert to fraction form
    5,145.52/7,102.02 = 3,653.90/x
  3. Step 3: Cross multiply
    5,145.52x = 7,102.02 × 3,653.90
  4. Step 4: Simplify right side
    5,145.52x = 25,950,070.88
  5. Step 5: Solve for x
    x = 25,950,070.88/5,145.52
  6. Step 6: Final answer
    x = 5,043.24

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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.