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Finding the Fourth Proportional to 4,156.12, 5,730.98 and 4,094.84

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Solution

The fourth proportional to 4,156.12, 5,730.98 and 4,094.84 is: 5,646.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.12 : 5,730.98 = 4,094.84 : x
  2. Step 2: Convert to fraction form
    4,156.12/5,730.98 = 4,094.84/x
  3. Step 3: Cross multiply
    4,156.12x = 5,730.98 × 4,094.84
  4. Step 4: Simplify right side
    4,156.12x = 23,467,446.14
  5. Step 5: Solve for x
    x = 23,467,446.14/4,156.12
  6. Step 6: Final answer
    x = 5,646.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.