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Finding the Fourth Proportional to 3,356.96, 5,035.54 and 1,602.15

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Solution

The fourth proportional to 3,356.96, 5,035.54 and 1,602.15 is: 2,403.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.96 : 5,035.54 = 1,602.15 : x
  2. Step 2: Convert to fraction form
    3,356.96/5,035.54 = 1,602.15/x
  3. Step 3: Cross multiply
    3,356.96x = 5,035.54 × 1,602.15
  4. Step 4: Simplify right side
    3,356.96x = 8,067,686.41
  5. Step 5: Solve for x
    x = 8,067,686.41/3,356.96
  6. Step 6: Final answer
    x = 2,403.28

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Why These Related Problems?

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