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Finding the Fourth Proportional to 5,094.60, 7,644.02 and 4,685.91

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Solution

The fourth proportional to 5,094.60, 7,644.02 and 4,685.91 is: 7,030.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.60 : 7,644.02 = 4,685.91 : x
  2. Step 2: Convert to fraction form
    5,094.60/7,644.02 = 4,685.91/x
  3. Step 3: Cross multiply
    5,094.60x = 7,644.02 × 4,685.91
  4. Step 4: Simplify right side
    5,094.60x = 35,819,166.33
  5. Step 5: Solve for x
    x = 35,819,166.33/5,094.60
  6. Step 6: Final answer
    x = 7,030.81

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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.