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Finding the Fourth Proportional to 3,650.74, 5,475.70 and 1,053.68

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Solution

The fourth proportional to 3,650.74, 5,475.70 and 1,053.68 is: 1,580.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.74 : 5,475.70 = 1,053.68 : x
  2. Step 2: Convert to fraction form
    3,650.74/5,475.70 = 1,053.68/x
  3. Step 3: Cross multiply
    3,650.74x = 5,475.70 × 1,053.68
  4. Step 4: Simplify right side
    3,650.74x = 5,769,609.51
  5. Step 5: Solve for x
    x = 5,769,609.51/3,650.74
  6. Step 6: Final answer
    x = 1,580.40

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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.