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Finding the Fourth Proportional to 4,647.90, 6,970.34 and 2,567.54

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Solution

The fourth proportional to 4,647.90, 6,970.34 and 2,567.54 is: 3,850.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.90 : 6,970.34 = 2,567.54 : x
  2. Step 2: Convert to fraction form
    4,647.90/6,970.34 = 2,567.54/x
  3. Step 3: Cross multiply
    4,647.90x = 6,970.34 × 2,567.54
  4. Step 4: Simplify right side
    4,647.90x = 17,896,626.76
  5. Step 5: Solve for x
    x = 17,896,626.76/4,647.90
  6. Step 6: Final answer
    x = 3,850.48

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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.