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Finding the Fourth Proportional to 4,612.02, 6,925.05 and 4,462.44

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Solution

The fourth proportional to 4,612.02, 6,925.05 and 4,462.44 is: 6,700.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.02 : 6,925.05 = 4,462.44 : x
  2. Step 2: Convert to fraction form
    4,612.02/6,925.05 = 4,462.44/x
  3. Step 3: Cross multiply
    4,612.02x = 6,925.05 × 4,462.44
  4. Step 4: Simplify right side
    4,612.02x = 30,902,620.12
  5. Step 5: Solve for x
    x = 30,902,620.12/4,612.02
  6. Step 6: Final answer
    x = 6,700.45

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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.