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Finding the Fourth Proportional to 4,278.64, 5,905.11 and 2,510.83

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Solution

The fourth proportional to 4,278.64, 5,905.11 and 2,510.83 is: 3,465.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278.64 : 5,905.11 = 2,510.83 : x
  2. Step 2: Convert to fraction form
    4,278.64/5,905.11 = 2,510.83/x
  3. Step 3: Cross multiply
    4,278.64x = 5,905.11 × 2,510.83
  4. Step 4: Simplify right side
    4,278.64x = 14,826,727.34
  5. Step 5: Solve for x
    x = 14,826,727.34/4,278.64
  6. Step 6: Final answer
    x = 3,465.29

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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.