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Finding the Fourth Proportional to 3,866.86, 5,794.15 and 2,303.16

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Solution

The fourth proportional to 3,866.86, 5,794.15 and 2,303.16 is: 3,451.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.86 : 5,794.15 = 2,303.16 : x
  2. Step 2: Convert to fraction form
    3,866.86/5,794.15 = 2,303.16/x
  3. Step 3: Cross multiply
    3,866.86x = 5,794.15 × 2,303.16
  4. Step 4: Simplify right side
    3,866.86x = 13,344,854.51
  5. Step 5: Solve for x
    x = 13,344,854.51/3,866.86
  6. Step 6: Final answer
    x = 3,451.08

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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.