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Finding the Fourth Proportional to 5,782.29, 8,670.12 and 1,778.63

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Solution

The fourth proportional to 5,782.29, 8,670.12 and 1,778.63 is: 2,666.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.29 : 8,670.12 = 1,778.63 : x
  2. Step 2: Convert to fraction form
    5,782.29/8,670.12 = 1,778.63/x
  3. Step 3: Cross multiply
    5,782.29x = 8,670.12 × 1,778.63
  4. Step 4: Simplify right side
    5,782.29x = 15,420,892.19
  5. Step 5: Solve for x
    x = 15,420,892.19/5,782.29
  6. Step 6: Final answer
    x = 2,666.92

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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.