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Finding the Fourth Proportional to 3,652.56, 5,475.77 and 1,460.10

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Solution

The fourth proportional to 3,652.56, 5,475.77 and 1,460.10 is: 2,188.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.56 : 5,475.77 = 1,460.10 : x
  2. Step 2: Convert to fraction form
    3,652.56/5,475.77 = 1,460.10/x
  3. Step 3: Cross multiply
    3,652.56x = 5,475.77 × 1,460.10
  4. Step 4: Simplify right side
    3,652.56x = 7,995,137.10
  5. Step 5: Solve for x
    x = 7,995,137.10/3,652.56
  6. Step 6: Final answer
    x = 2,188.91

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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.