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Finding the Fourth Proportional to 5,678.82, 7,836.84 and 3,160.98

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Solution

The fourth proportional to 5,678.82, 7,836.84 and 3,160.98 is: 4,362.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.82 : 7,836.84 = 3,160.98 : x
  2. Step 2: Convert to fraction form
    5,678.82/7,836.84 = 3,160.98/x
  3. Step 3: Cross multiply
    5,678.82x = 7,836.84 × 3,160.98
  4. Step 4: Simplify right side
    5,678.82x = 24,772,094.50
  5. Step 5: Solve for x
    x = 24,772,094.50/5,678.82
  6. Step 6: Final answer
    x = 4,362.19

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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.