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Finding the Fourth Proportional to 4,499.34, 6,752.10 and 1,577.64

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Solution

The fourth proportional to 4,499.34, 6,752.10 and 1,577.64 is: 2,367.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,499.34 : 6,752.10 = 1,577.64 : x
  2. Step 2: Convert to fraction form
    4,499.34/6,752.10 = 1,577.64/x
  3. Step 3: Cross multiply
    4,499.34x = 6,752.10 × 1,577.64
  4. Step 4: Simplify right side
    4,499.34x = 10,652,383.04
  5. Step 5: Solve for x
    x = 10,652,383.04/4,499.34
  6. Step 6: Final answer
    x = 2,367.54

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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.