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Finding the Fourth Proportional to 3,602.07, 5,424.30 and 3,145.32

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Solution

The fourth proportional to 3,602.07, 5,424.30 and 3,145.32 is: 4,736.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.07 : 5,424.30 = 3,145.32 : x
  2. Step 2: Convert to fraction form
    3,602.07/5,424.30 = 3,145.32/x
  3. Step 3: Cross multiply
    3,602.07x = 5,424.30 × 3,145.32
  4. Step 4: Simplify right side
    3,602.07x = 17,061,159.28
  5. Step 5: Solve for x
    x = 17,061,159.28/3,602.07
  6. Step 6: Final answer
    x = 4,736.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.