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Finding the Fourth Proportional to 3,623.52, 5,435.12 and 1,026.38

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Solution

The fourth proportional to 3,623.52, 5,435.12 and 1,026.38 is: 1,539.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,623.52 : 5,435.12 = 1,026.38 : x
  2. Step 2: Convert to fraction form
    3,623.52/5,435.12 = 1,026.38/x
  3. Step 3: Cross multiply
    3,623.52x = 5,435.12 × 1,026.38
  4. Step 4: Simplify right side
    3,623.52x = 5,578,498.47
  5. Step 5: Solve for x
    x = 5,578,498.47/3,623.52
  6. Step 6: Final answer
    x = 1,539.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.