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Finding the Fourth Proportional to 3,602.51, 5,406.20 and 1,410.97

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Solution

The fourth proportional to 3,602.51, 5,406.20 and 1,410.97 is: 2,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.51 : 5,406.20 = 1,410.97 : x
  2. Step 2: Convert to fraction form
    3,602.51/5,406.20 = 1,410.97/x
  3. Step 3: Cross multiply
    3,602.51x = 5,406.20 × 1,410.97
  4. Step 4: Simplify right side
    3,602.51x = 7,627,951.93
  5. Step 5: Solve for x
    x = 7,627,951.93/3,602.51
  6. Step 6: Final answer
    x = 2,117.40

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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.