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Finding the Fourth Proportional to 4,686.42, 7,014.99 and 3,127.70

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Solution

The fourth proportional to 4,686.42, 7,014.99 and 3,127.70 is: 4,681.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.42 : 7,014.99 = 3,127.70 : x
  2. Step 2: Convert to fraction form
    4,686.42/7,014.99 = 3,127.70/x
  3. Step 3: Cross multiply
    4,686.42x = 7,014.99 × 3,127.70
  4. Step 4: Simplify right side
    4,686.42x = 21,940,784.22
  5. Step 5: Solve for x
    x = 21,940,784.22/4,686.42
  6. Step 6: Final answer
    x = 4,681.78

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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.