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Finding the Fourth Proportional to 3,577.76, 5,362.48 and 1,385.52

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Solution

The fourth proportional to 3,577.76, 5,362.48 and 1,385.52 is: 2,076.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.76 : 5,362.48 = 1,385.52 : x
  2. Step 2: Convert to fraction form
    3,577.76/5,362.48 = 1,385.52/x
  3. Step 3: Cross multiply
    3,577.76x = 5,362.48 × 1,385.52
  4. Step 4: Simplify right side
    3,577.76x = 7,429,823.29
  5. Step 5: Solve for x
    x = 7,429,823.29/3,577.76
  6. Step 6: Final answer
    x = 2,076.67

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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.