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Finding the Fourth Proportional to 3,410.52, 4,703.58 and 3,064.92

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Solution

The fourth proportional to 3,410.52, 4,703.58 and 3,064.92 is: 4,226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.52 : 4,703.58 = 3,064.92 : x
  2. Step 2: Convert to fraction form
    3,410.52/4,703.58 = 3,064.92/x
  3. Step 3: Cross multiply
    3,410.52x = 4,703.58 × 3,064.92
  4. Step 4: Simplify right side
    3,410.52x = 14,416,096.41
  5. Step 5: Solve for x
    x = 14,416,096.41/3,410.52
  6. Step 6: Final answer
    x = 4,226.95

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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.