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Finding the Fourth Proportional to 5,707.35, 7,875.99 and 3,349.44

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Solution

The fourth proportional to 5,707.35, 7,875.99 and 3,349.44 is: 4,622.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.35 : 7,875.99 = 3,349.44 : x
  2. Step 2: Convert to fraction form
    5,707.35/7,875.99 = 3,349.44/x
  3. Step 3: Cross multiply
    5,707.35x = 7,875.99 × 3,349.44
  4. Step 4: Simplify right side
    5,707.35x = 26,380,155.95
  5. Step 5: Solve for x
    x = 26,380,155.95/5,707.35
  6. Step 6: Final answer
    x = 4,622.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.