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Finding the Fourth Proportional to 4,743.95, 7,117.44 and 2,278.94

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Solution

The fourth proportional to 4,743.95, 7,117.44 and 2,278.94 is: 3,419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.95 : 7,117.44 = 2,278.94 : x
  2. Step 2: Convert to fraction form
    4,743.95/7,117.44 = 2,278.94/x
  3. Step 3: Cross multiply
    4,743.95x = 7,117.44 × 2,278.94
  4. Step 4: Simplify right side
    4,743.95x = 16,220,223.16
  5. Step 5: Solve for x
    x = 16,220,223.16/4,743.95
  6. Step 6: Final answer
    x = 3,419.14

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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.