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Finding the Fourth Proportional to 3,507.42, 5,262.41 and 1,657.14

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Solution

The fourth proportional to 3,507.42, 5,262.41 and 1,657.14 is: 2,486.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.42 : 5,262.41 = 1,657.14 : x
  2. Step 2: Convert to fraction form
    3,507.42/5,262.41 = 1,657.14/x
  3. Step 3: Cross multiply
    3,507.42x = 5,262.41 × 1,657.14
  4. Step 4: Simplify right side
    3,507.42x = 8,720,541.82
  5. Step 5: Solve for x
    x = 8,720,541.82/3,507.42
  6. Step 6: Final answer
    x = 2,486.31

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1.5x scale

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.