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Finding the Fourth Proportional to 3,602.73, 5,403.49 and 1,005.06

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Solution

The fourth proportional to 3,602.73, 5,403.49 and 1,005.06 is: 1,507.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.73 : 5,403.49 = 1,005.06 : x
  2. Step 2: Convert to fraction form
    3,602.73/5,403.49 = 1,005.06/x
  3. Step 3: Cross multiply
    3,602.73x = 5,403.49 × 1,005.06
  4. Step 4: Simplify right side
    3,602.73x = 5,430,831.66
  5. Step 5: Solve for x
    x = 5,430,831.66/3,602.73
  6. Step 6: Final answer
    x = 1,507.42

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1.5x scale

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.