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Finding the Fourth Proportional to 4,985.64, 7,478.46 and 4,118.13

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Solution

The fourth proportional to 4,985.64, 7,478.46 and 4,118.13 is: 6,177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,985.64 : 7,478.46 = 4,118.13 : x
  2. Step 2: Convert to fraction form
    4,985.64/7,478.46 = 4,118.13/x
  3. Step 3: Cross multiply
    4,985.64x = 7,478.46 × 4,118.13
  4. Step 4: Simplify right side
    4,985.64x = 30,797,270.48
  5. Step 5: Solve for x
    x = 30,797,270.48/4,985.64
  6. Step 6: Final answer
    x = 6,177.20

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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.