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Finding the Fourth Proportional to 3,585.40, 5,370.90 and 1,830.33

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Solution

The fourth proportional to 3,585.40, 5,370.90 and 1,830.33 is: 2,741.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.40 : 5,370.90 = 1,830.33 : x
  2. Step 2: Convert to fraction form
    3,585.40/5,370.90 = 1,830.33/x
  3. Step 3: Cross multiply
    3,585.40x = 5,370.90 × 1,830.33
  4. Step 4: Simplify right side
    3,585.40x = 9,830,519.40
  5. Step 5: Solve for x
    x = 9,830,519.40/3,585.40
  6. Step 6: Final answer
    x = 2,741.82

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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.