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Finding the Fourth Proportional to 3,484.74, 4,806.15 and 3,064.23

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Solution

The fourth proportional to 3,484.74, 4,806.15 and 3,064.23 is: 4,226.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.74 : 4,806.15 = 3,064.23 : x
  2. Step 2: Convert to fraction form
    3,484.74/4,806.15 = 3,064.23/x
  3. Step 3: Cross multiply
    3,484.74x = 4,806.15 × 3,064.23
  4. Step 4: Simplify right side
    3,484.74x = 14,727,149.01
  5. Step 5: Solve for x
    x = 14,727,149.01/3,484.74
  6. Step 6: Final answer
    x = 4,226.18

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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.