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Finding the Fourth Proportional to 5,687.44, 7,848.06 and 4,196.16

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Solution

The fourth proportional to 5,687.44, 7,848.06 and 4,196.16 is: 5,790.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.44 : 7,848.06 = 4,196.16 : x
  2. Step 2: Convert to fraction form
    5,687.44/7,848.06 = 4,196.16/x
  3. Step 3: Cross multiply
    5,687.44x = 7,848.06 × 4,196.16
  4. Step 4: Simplify right side
    5,687.44x = 32,931,715.45
  5. Step 5: Solve for x
    x = 32,931,715.45/5,687.44
  6. Step 6: Final answer
    x = 5,790.25

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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.