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Finding the Fourth Proportional to 4,415.79, 6,607.85 and 3,837.54

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Solution

The fourth proportional to 4,415.79, 6,607.85 and 3,837.54 is: 5,742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,415.79 : 6,607.85 = 3,837.54 : x
  2. Step 2: Convert to fraction form
    4,415.79/6,607.85 = 3,837.54/x
  3. Step 3: Cross multiply
    4,415.79x = 6,607.85 × 3,837.54
  4. Step 4: Simplify right side
    4,415.79x = 25,357,869.50
  5. Step 5: Solve for x
    x = 25,357,869.50/4,415.79
  6. Step 6: Final answer
    x = 5,742.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.