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Finding the Fourth Proportional to 4,264.12, 5,892.80 and 3,465.88

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Solution

The fourth proportional to 4,264.12, 5,892.80 and 3,465.88 is: 4,789.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,264.12 : 5,892.80 = 3,465.88 : x
  2. Step 2: Convert to fraction form
    4,264.12/5,892.80 = 3,465.88/x
  3. Step 3: Cross multiply
    4,264.12x = 5,892.80 × 3,465.88
  4. Step 4: Simplify right side
    4,264.12x = 20,423,737.66
  5. Step 5: Solve for x
    x = 20,423,737.66/4,264.12
  6. Step 6: Final answer
    x = 4,789.67

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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.