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Finding the Fourth Proportional to 3,497.96, 4,827.22 and 1,926.06

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Solution

The fourth proportional to 3,497.96, 4,827.22 and 1,926.06 is: 2,657.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.96 : 4,827.22 = 1,926.06 : x
  2. Step 2: Convert to fraction form
    3,497.96/4,827.22 = 1,926.06/x
  3. Step 3: Cross multiply
    3,497.96x = 4,827.22 × 1,926.06
  4. Step 4: Simplify right side
    3,497.96x = 9,297,515.35
  5. Step 5: Solve for x
    x = 9,297,515.35/3,497.96
  6. Step 6: Final answer
    x = 2,657.98

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Double 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.