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Finding the Fourth Proportional to 4,681.64, 7,020.51 and 1,906.42

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Solution

The fourth proportional to 4,681.64, 7,020.51 and 1,906.42 is: 2,858.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.64 : 7,020.51 = 1,906.42 : x
  2. Step 2: Convert to fraction form
    4,681.64/7,020.51 = 1,906.42/x
  3. Step 3: Cross multiply
    4,681.64x = 7,020.51 × 1,906.42
  4. Step 4: Simplify right side
    4,681.64x = 13,384,040.67
  5. Step 5: Solve for x
    x = 13,384,040.67/4,681.64
  6. Step 6: Final answer
    x = 2,858.84

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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.