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Finding the Fourth Proportional to 3,821.70, 5,730.53 and 1,356.60

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Solution

The fourth proportional to 3,821.70, 5,730.53 and 1,356.60 is: 2,034.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.70 : 5,730.53 = 1,356.60 : x
  2. Step 2: Convert to fraction form
    3,821.70/5,730.53 = 1,356.60/x
  3. Step 3: Cross multiply
    3,821.70x = 5,730.53 × 1,356.60
  4. Step 4: Simplify right side
    3,821.70x = 7,774,030.22
  5. Step 5: Solve for x
    x = 7,774,030.22/3,821.70
  6. Step 6: Final answer
    x = 2,034.18

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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.