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Finding the Fourth Proportional to 3,803.43, 5,703.31 and 1,953.60

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Solution

The fourth proportional to 3,803.43, 5,703.31 and 1,953.60 is: 2,929.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.43 : 5,703.31 = 1,953.60 : x
  2. Step 2: Convert to fraction form
    3,803.43/5,703.31 = 1,953.60/x
  3. Step 3: Cross multiply
    3,803.43x = 5,703.31 × 1,953.60
  4. Step 4: Simplify right side
    3,803.43x = 11,141,986.42
  5. Step 5: Solve for x
    x = 11,141,986.42/3,803.43
  6. Step 6: Final answer
    x = 2,929.46

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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.