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Finding the Fourth Proportional to 3,484.64, 5,226.51 and 887.42

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Solution

The fourth proportional to 3,484.64, 5,226.51 and 887.42 is: 1,331.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.64 : 5,226.51 = 887.42 : x
  2. Step 2: Convert to fraction form
    3,484.64/5,226.51 = 887.42/x
  3. Step 3: Cross multiply
    3,484.64x = 5,226.51 × 887.42
  4. Step 4: Simplify right side
    3,484.64x = 4,638,109.50
  5. Step 5: Solve for x
    x = 4,638,109.50/3,484.64
  6. Step 6: Final answer
    x = 1,331.02

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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.