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Finding the Fourth Proportional to 3,602.47, 4,972.64 and 2,110.86

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Solution

The fourth proportional to 3,602.47, 4,972.64 and 2,110.86 is: 2,913.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.47 : 4,972.64 = 2,110.86 : x
  2. Step 2: Convert to fraction form
    3,602.47/4,972.64 = 2,110.86/x
  3. Step 3: Cross multiply
    3,602.47x = 4,972.64 × 2,110.86
  4. Step 4: Simplify right side
    3,602.47x = 10,496,536.32
  5. Step 5: Solve for x
    x = 10,496,536.32/3,602.47
  6. Step 6: Final answer
    x = 2,913.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.