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Finding the Fourth Proportional to 4,305.64, 6,460.08 and 1,709.32

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Solution

The fourth proportional to 4,305.64, 6,460.08 and 1,709.32 is: 2,564.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.64 : 6,460.08 = 1,709.32 : x
  2. Step 2: Convert to fraction form
    4,305.64/6,460.08 = 1,709.32/x
  3. Step 3: Cross multiply
    4,305.64x = 6,460.08 × 1,709.32
  4. Step 4: Simplify right side
    4,305.64x = 11,042,343.95
  5. Step 5: Solve for x
    x = 11,042,343.95/4,305.64
  6. Step 6: Final answer
    x = 2,564.62

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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.