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Finding the Fourth Proportional to 3,220.56, 4,830.18 and 1,140.53

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Solution

The fourth proportional to 3,220.56, 4,830.18 and 1,140.53 is: 1,710.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.56 : 4,830.18 = 1,140.53 : x
  2. Step 2: Convert to fraction form
    3,220.56/4,830.18 = 1,140.53/x
  3. Step 3: Cross multiply
    3,220.56x = 4,830.18 × 1,140.53
  4. Step 4: Simplify right side
    3,220.56x = 5,508,970.35
  5. Step 5: Solve for x
    x = 5,508,970.35/3,220.56
  6. Step 6: Final answer
    x = 1,710.56

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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.