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Finding the Fourth Proportional to 5,830.76, 8,741.28 and 2,905.04

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Solution

The fourth proportional to 5,830.76, 8,741.28 and 2,905.04 is: 4,355.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.76 : 8,741.28 = 2,905.04 : x
  2. Step 2: Convert to fraction form
    5,830.76/8,741.28 = 2,905.04/x
  3. Step 3: Cross multiply
    5,830.76x = 8,741.28 × 2,905.04
  4. Step 4: Simplify right side
    5,830.76x = 25,393,768.05
  5. Step 5: Solve for x
    x = 25,393,768.05/5,830.76
  6. Step 6: Final answer
    x = 4,355.14

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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.