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Finding the Fourth Proportional to 4,309.06, 6,461.60 and 1,710.22

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Solution

The fourth proportional to 4,309.06, 6,461.60 and 1,710.22 is: 2,564.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.06 : 6,461.60 = 1,710.22 : x
  2. Step 2: Convert to fraction form
    4,309.06/6,461.60 = 1,710.22/x
  3. Step 3: Cross multiply
    4,309.06x = 6,461.60 × 1,710.22
  4. Step 4: Simplify right side
    4,309.06x = 11,050,757.55
  5. Step 5: Solve for x
    x = 11,050,757.55/4,309.06
  6. Step 6: Final answer
    x = 2,564.54

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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.