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Finding the Fourth Proportional to 5,296.95, 7,942.86 and 1,598.49

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Solution

The fourth proportional to 5,296.95, 7,942.86 and 1,598.49 is: 2,396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.95 : 7,942.86 = 1,598.49 : x
  2. Step 2: Convert to fraction form
    5,296.95/7,942.86 = 1,598.49/x
  3. Step 3: Cross multiply
    5,296.95x = 7,942.86 × 1,598.49
  4. Step 4: Simplify right side
    5,296.95x = 12,696,582.28
  5. Step 5: Solve for x
    x = 12,696,582.28/5,296.95
  6. Step 6: Final answer
    x = 2,396.96

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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.