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Finding the Fourth Proportional to 3,302, 4,953.52 and 1,570.04

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Solution

The fourth proportional to 3,302, 4,953.52 and 1,570.04 is: 2,355.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302 : 4,953.52 = 1,570.04 : x
  2. Step 2: Convert to fraction form
    3,302/4,953.52 = 1,570.04/x
  3. Step 3: Cross multiply
    3,302x = 4,953.52 × 1,570.04
  4. Step 4: Simplify right side
    3,302x = 7,777,224.54
  5. Step 5: Solve for x
    x = 7,777,224.54/3,302
  6. Step 6: Final answer
    x = 2,355.31

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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.