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Finding the Fourth Proportional to 4,869.15, 7,294.68 and 4,094.16

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Solution

The fourth proportional to 4,869.15, 7,294.68 and 4,094.16 is: 6,133.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.15 : 7,294.68 = 4,094.16 : x
  2. Step 2: Convert to fraction form
    4,869.15/7,294.68 = 4,094.16/x
  3. Step 3: Cross multiply
    4,869.15x = 7,294.68 × 4,094.16
  4. Step 4: Simplify right side
    4,869.15x = 29,865,587.07
  5. Step 5: Solve for x
    x = 29,865,587.07/4,869.15
  6. Step 6: Final answer
    x = 6,133.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.