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Finding the Fourth Proportional to 5,892.16, 8,130.72 and 3,407.68

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Solution

The fourth proportional to 5,892.16, 8,130.72 and 3,407.68 is: 4,702.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.16 : 8,130.72 = 3,407.68 : x
  2. Step 2: Convert to fraction form
    5,892.16/8,130.72 = 3,407.68/x
  3. Step 3: Cross multiply
    5,892.16x = 8,130.72 × 3,407.68
  4. Step 4: Simplify right side
    5,892.16x = 27,706,891.93
  5. Step 5: Solve for x
    x = 27,706,891.93/5,892.16
  6. Step 6: Final answer
    x = 4,702.33

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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.