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Finding the Fourth Proportional to 4,612.69, 6,911.25 and 4,442.05

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Solution

The fourth proportional to 4,612.69, 6,911.25 and 4,442.05 is: 6,655.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.69 : 6,911.25 = 4,442.05 : x
  2. Step 2: Convert to fraction form
    4,612.69/6,911.25 = 4,442.05/x
  3. Step 3: Cross multiply
    4,612.69x = 6,911.25 × 4,442.05
  4. Step 4: Simplify right side
    4,612.69x = 30,700,118.06
  5. Step 5: Solve for x
    x = 30,700,118.06/4,612.69
  6. Step 6: Final answer
    x = 6,655.58

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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.