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Finding the Fourth Proportional to 4,307.96, 6,460.86 and 1,385.48

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Solution

The fourth proportional to 4,307.96, 6,460.86 and 1,385.48 is: 2,077.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.96 : 6,460.86 = 1,385.48 : x
  2. Step 2: Convert to fraction form
    4,307.96/6,460.86 = 1,385.48/x
  3. Step 3: Cross multiply
    4,307.96x = 6,460.86 × 1,385.48
  4. Step 4: Simplify right side
    4,307.96x = 8,951,392.31
  5. Step 5: Solve for x
    x = 8,951,392.31/4,307.96
  6. Step 6: Final answer
    x = 2,077.87

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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.