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Finding the Fourth Proportional to 4,567.70, 6,851.02 and 1,281.06

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Solution

The fourth proportional to 4,567.70, 6,851.02 and 1,281.06 is: 1,921.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.70 : 6,851.02 = 1,281.06 : x
  2. Step 2: Convert to fraction form
    4,567.70/6,851.02 = 1,281.06/x
  3. Step 3: Cross multiply
    4,567.70x = 6,851.02 × 1,281.06
  4. Step 4: Simplify right side
    4,567.70x = 8,776,567.68
  5. Step 5: Solve for x
    x = 8,776,567.68/4,567.70
  6. Step 6: Final answer
    x = 1,921.44

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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.