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Finding the Fourth Proportional to 5,302.64, 7,948.24 and 3,355.40

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Solution

The fourth proportional to 5,302.64, 7,948.24 and 3,355.40 is: 5,029.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.64 : 7,948.24 = 3,355.40 : x
  2. Step 2: Convert to fraction form
    5,302.64/7,948.24 = 3,355.40/x
  3. Step 3: Cross multiply
    5,302.64x = 7,948.24 × 3,355.40
  4. Step 4: Simplify right side
    5,302.64x = 26,669,524.50
  5. Step 5: Solve for x
    x = 26,669,524.50/5,302.64
  6. Step 6: Final answer
    x = 5,029.48

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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.