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Finding the Fourth Proportional to 3,697.53, 5,102.53 and 2,018.94

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Solution

The fourth proportional to 3,697.53, 5,102.53 and 2,018.94 is: 2,786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.53 : 5,102.53 = 2,018.94 : x
  2. Step 2: Convert to fraction form
    3,697.53/5,102.53 = 2,018.94/x
  3. Step 3: Cross multiply
    3,697.53x = 5,102.53 × 2,018.94
  4. Step 4: Simplify right side
    3,697.53x = 10,301,701.92
  5. Step 5: Solve for x
    x = 10,301,701.92/3,697.53
  6. Step 6: Final answer
    x = 2,786.10

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1.5x scale

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.