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Finding the Fourth Proportional to 4,762.26, 7,140.72 and 2,681.34

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Solution

The fourth proportional to 4,762.26, 7,140.72 and 2,681.34 is: 4,020.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.26 : 7,140.72 = 2,681.34 : x
  2. Step 2: Convert to fraction form
    4,762.26/7,140.72 = 2,681.34/x
  3. Step 3: Cross multiply
    4,762.26x = 7,140.72 × 2,681.34
  4. Step 4: Simplify right side
    4,762.26x = 19,146,698.16
  5. Step 5: Solve for x
    x = 19,146,698.16/4,762.26
  6. Step 6: Final answer
    x = 4,020.51

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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.