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Finding the Fourth Proportional to 4,838.95, 6,677.49 and 2,849.05

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Solution

The fourth proportional to 4,838.95, 6,677.49 and 2,849.05 is: 3,931.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.95 : 6,677.49 = 2,849.05 : x
  2. Step 2: Convert to fraction form
    4,838.95/6,677.49 = 2,849.05/x
  3. Step 3: Cross multiply
    4,838.95x = 6,677.49 × 2,849.05
  4. Step 4: Simplify right side
    4,838.95x = 19,024,502.88
  5. Step 5: Solve for x
    x = 19,024,502.88/4,838.95
  6. Step 6: Final answer
    x = 3,931.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.