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Finding the Fourth Proportional to 4,683.97, 7,024.87 and 1,762.57

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Solution

The fourth proportional to 4,683.97, 7,024.87 and 1,762.57 is: 2,643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.97 : 7,024.87 = 1,762.57 : x
  2. Step 2: Convert to fraction form
    4,683.97/7,024.87 = 1,762.57/x
  3. Step 3: Cross multiply
    4,683.97x = 7,024.87 × 1,762.57
  4. Step 4: Simplify right side
    4,683.97x = 12,381,825.12
  5. Step 5: Solve for x
    x = 12,381,825.12/4,683.97
  6. Step 6: Final answer
    x = 2,643.45

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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.