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Finding the Fourth Proportional to 4,651.45, 6,971.89 and 2,308.52

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Solution

The fourth proportional to 4,651.45, 6,971.89 and 2,308.52 is: 3,460.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.45 : 6,971.89 = 2,308.52 : x
  2. Step 2: Convert to fraction form
    4,651.45/6,971.89 = 2,308.52/x
  3. Step 3: Cross multiply
    4,651.45x = 6,971.89 × 2,308.52
  4. Step 4: Simplify right side
    4,651.45x = 16,094,747.50
  5. Step 5: Solve for x
    x = 16,094,747.50/4,651.45
  6. Step 6: Final answer
    x = 3,460.16

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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.