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Finding the Fourth Proportional to 3,852.76, 5,780.58 and 2,293.66

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Solution

The fourth proportional to 3,852.76, 5,780.58 and 2,293.66 is: 3,441.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.76 : 5,780.58 = 2,293.66 : x
  2. Step 2: Convert to fraction form
    3,852.76/5,780.58 = 2,293.66/x
  3. Step 3: Cross multiply
    3,852.76x = 5,780.58 × 2,293.66
  4. Step 4: Simplify right side
    3,852.76x = 13,258,656.22
  5. Step 5: Solve for x
    x = 13,258,656.22/3,852.76
  6. Step 6: Final answer
    x = 3,441.34

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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.