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Finding the Fourth Proportional to 4,307.72, 6,460.62 and 1,709.96

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Solution

The fourth proportional to 4,307.72, 6,460.62 and 1,709.96 is: 2,564.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.72 : 6,460.62 = 1,709.96 : x
  2. Step 2: Convert to fraction form
    4,307.72/6,460.62 = 1,709.96/x
  3. Step 3: Cross multiply
    4,307.72x = 6,460.62 × 1,709.96
  4. Step 4: Simplify right side
    4,307.72x = 11,047,401.78
  5. Step 5: Solve for x
    x = 11,047,401.78/4,307.72
  6. Step 6: Final answer
    x = 2,564.56

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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.