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Finding the Fourth Proportional to 4,602.34, 6,350.34 and 2,924.02

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Solution

The fourth proportional to 4,602.34, 6,350.34 and 2,924.02 is: 4,034.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.34 : 6,350.34 = 2,924.02 : x
  2. Step 2: Convert to fraction form
    4,602.34/6,350.34 = 2,924.02/x
  3. Step 3: Cross multiply
    4,602.34x = 6,350.34 × 2,924.02
  4. Step 4: Simplify right side
    4,602.34x = 18,568,521.17
  5. Step 5: Solve for x
    x = 18,568,521.17/4,602.34
  6. Step 6: Final answer
    x = 4,034.58

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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.