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Finding the Fourth Proportional to 4,656.05, 6,989.05 and 1,884.54

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Solution

The fourth proportional to 4,656.05, 6,989.05 and 1,884.54 is: 2,828.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.05 : 6,989.05 = 1,884.54 : x
  2. Step 2: Convert to fraction form
    4,656.05/6,989.05 = 1,884.54/x
  3. Step 3: Cross multiply
    4,656.05x = 6,989.05 × 1,884.54
  4. Step 4: Simplify right side
    4,656.05x = 13,171,109.34
  5. Step 5: Solve for x
    x = 13,171,109.34/4,656.05
  6. Step 6: Final answer
    x = 2,828.82

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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.