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Finding the Fourth Proportional to 4,313.76, 6,471.86 and 1,392.30

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Solution

The fourth proportional to 4,313.76, 6,471.86 and 1,392.30 is: 2,088.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,313.76 : 6,471.86 = 1,392.30 : x
  2. Step 2: Convert to fraction form
    4,313.76/6,471.86 = 1,392.30/x
  3. Step 3: Cross multiply
    4,313.76x = 6,471.86 × 1,392.30
  4. Step 4: Simplify right side
    4,313.76x = 9,010,763.72
  5. Step 5: Solve for x
    x = 9,010,763.72/4,313.76
  6. Step 6: Final answer
    x = 2,088.84

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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.