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Finding the Fourth Proportional to 5,184.06, 7,773.78 and 1,894.86

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Solution

The fourth proportional to 5,184.06, 7,773.78 and 1,894.86 is: 2,841.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.06 : 7,773.78 = 1,894.86 : x
  2. Step 2: Convert to fraction form
    5,184.06/7,773.78 = 1,894.86/x
  3. Step 3: Cross multiply
    5,184.06x = 7,773.78 × 1,894.86
  4. Step 4: Simplify right side
    5,184.06x = 14,730,224.77
  5. Step 5: Solve for x
    x = 14,730,224.77/5,184.06
  6. Step 6: Final answer
    x = 2,841.45

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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.