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Finding the Fourth Proportional to 5,184.95, 7,770.47 and 1,894.91

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Solution

The fourth proportional to 5,184.95, 7,770.47 and 1,894.91 is: 2,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.95 : 7,770.47 = 1,894.91 : x
  2. Step 2: Convert to fraction form
    5,184.95/7,770.47 = 1,894.91/x
  3. Step 3: Cross multiply
    5,184.95x = 7,770.47 × 1,894.91
  4. Step 4: Simplify right side
    5,184.95x = 14,724,292.98
  5. Step 5: Solve for x
    x = 14,724,292.98/5,184.95
  6. Step 6: Final answer
    x = 2,839.82

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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.