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Finding the Fourth Proportional to 5,288.69, 7,933.16 and 1,778.74

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Solution

The fourth proportional to 5,288.69, 7,933.16 and 1,778.74 is: 2,668.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.69 : 7,933.16 = 1,778.74 : x
  2. Step 2: Convert to fraction form
    5,288.69/7,933.16 = 1,778.74/x
  3. Step 3: Cross multiply
    5,288.69x = 7,933.16 × 1,778.74
  4. Step 4: Simplify right side
    5,288.69x = 14,111,029.02
  5. Step 5: Solve for x
    x = 14,111,029.02/5,288.69
  6. Step 6: Final answer
    x = 2,668.15

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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.