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Finding the Fourth Proportional to 4,286.53, 5,916.05 and 2,714.77

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Solution

The fourth proportional to 4,286.53, 5,916.05 and 2,714.77 is: 3,746.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.53 : 5,916.05 = 2,714.77 : x
  2. Step 2: Convert to fraction form
    4,286.53/5,916.05 = 2,714.77/x
  3. Step 3: Cross multiply
    4,286.53x = 5,916.05 × 2,714.77
  4. Step 4: Simplify right side
    4,286.53x = 16,060,715.06
  5. Step 5: Solve for x
    x = 16,060,715.06/4,286.53
  6. Step 6: Final answer
    x = 3,746.79

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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.