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Finding the Fourth Proportional to 3,484.76, 4,806.16 and 3,064.24

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Solution

The fourth proportional to 3,484.76, 4,806.16 and 3,064.24 is: 4,226.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.76 : 4,806.16 = 3,064.24 : x
  2. Step 2: Convert to fraction form
    3,484.76/4,806.16 = 3,064.24/x
  3. Step 3: Cross multiply
    3,484.76x = 4,806.16 × 3,064.24
  4. Step 4: Simplify right side
    3,484.76x = 14,727,208.04
  5. Step 5: Solve for x
    x = 14,727,208.04/3,484.76
  6. Step 6: Final answer
    x = 4,226.17

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Half scale
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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.