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Finding the Fourth Proportional to 3,357.86, 4,633.75 and 1,865.74

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Solution

The fourth proportional to 3,357.86, 4,633.75 and 1,865.74 is: 2,574.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.86 : 4,633.75 = 1,865.74 : x
  2. Step 2: Convert to fraction form
    3,357.86/4,633.75 = 1,865.74/x
  3. Step 3: Cross multiply
    3,357.86x = 4,633.75 × 1,865.74
  4. Step 4: Simplify right side
    3,357.86x = 8,645,372.42
  5. Step 5: Solve for x
    x = 8,645,372.42/3,357.86
  6. Step 6: Final answer
    x = 2,574.67

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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.