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Finding the Fourth Proportional to 4,683.60, 7,022.70 and 1,762.20

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Solution

The fourth proportional to 4,683.60, 7,022.70 and 1,762.20 is: 2,642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.60 : 7,022.70 = 1,762.20 : x
  2. Step 2: Convert to fraction form
    4,683.60/7,022.70 = 1,762.20/x
  3. Step 3: Cross multiply
    4,683.60x = 7,022.70 × 1,762.20
  4. Step 4: Simplify right side
    4,683.60x = 12,375,401.94
  5. Step 5: Solve for x
    x = 12,375,401.94/4,683.60
  6. Step 6: Final answer
    x = 2,642.28

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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.