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Finding the Fourth Proportional to 5,203.92, 7,803.08 and 2,278.82

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Solution

The fourth proportional to 5,203.92, 7,803.08 and 2,278.82 is: 3,417.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.92 : 7,803.08 = 2,278.82 : x
  2. Step 2: Convert to fraction form
    5,203.92/7,803.08 = 2,278.82/x
  3. Step 3: Cross multiply
    5,203.92x = 7,803.08 × 2,278.82
  4. Step 4: Simplify right side
    5,203.92x = 17,781,814.77
  5. Step 5: Solve for x
    x = 17,781,814.77/5,203.92
  6. Step 6: Final answer
    x = 3,417.00

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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.