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Finding the Fourth Proportional to 4,607.86, 6,905.61 and 2,524.72

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Solution

The fourth proportional to 4,607.86, 6,905.61 and 2,524.72 is: 3,783.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.86 : 6,905.61 = 2,524.72 : x
  2. Step 2: Convert to fraction form
    4,607.86/6,905.61 = 2,524.72/x
  3. Step 3: Cross multiply
    4,607.86x = 6,905.61 × 2,524.72
  4. Step 4: Simplify right side
    4,607.86x = 17,434,731.68
  5. Step 5: Solve for x
    x = 17,434,731.68/4,607.86
  6. Step 6: Final answer
    x = 3,783.69

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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.