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Finding the Fourth Proportional to 3,875.00, 5,349.33 and 2,478.56

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Solution

The fourth proportional to 3,875.00, 5,349.33 and 2,478.56 is: 3,421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.00 : 5,349.33 = 2,478.56 : x
  2. Step 2: Convert to fraction form
    3,875.00/5,349.33 = 2,478.56/x
  3. Step 3: Cross multiply
    3,875.00x = 5,349.33 × 2,478.56
  4. Step 4: Simplify right side
    3,875.00x = 13,258,608.62
  5. Step 5: Solve for x
    x = 13,258,608.62/3,875.00
  6. Step 6: Final answer
    x = 3,421.58

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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.