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Finding the Fourth Proportional to 2,953.47, 4,072.01 and 2,420.39

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Solution

The fourth proportional to 2,953.47, 4,072.01 and 2,420.39 is: 3,337.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.47 : 4,072.01 = 2,420.39 : x
  2. Step 2: Convert to fraction form
    2,953.47/4,072.01 = 2,420.39/x
  3. Step 3: Cross multiply
    2,953.47x = 4,072.01 × 2,420.39
  4. Step 4: Simplify right side
    2,953.47x = 9,855,863.98
  5. Step 5: Solve for x
    x = 9,855,863.98/2,953.47
  6. Step 6: Final answer
    x = 3,337.04

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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.