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Finding the Fourth Proportional to 4,567.34, 6,851.00 and 1,447.35

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Solution

The fourth proportional to 4,567.34, 6,851.00 and 1,447.35 is: 2,171.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.34 : 6,851.00 = 1,447.35 : x
  2. Step 2: Convert to fraction form
    4,567.34/6,851.00 = 1,447.35/x
  3. Step 3: Cross multiply
    4,567.34x = 6,851.00 × 1,447.35
  4. Step 4: Simplify right side
    4,567.34x = 9,915,798.47
  5. Step 5: Solve for x
    x = 9,915,798.47/4,567.34
  6. Step 6: Final answer
    x = 2,171.03

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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.