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Finding the Fourth Proportional to 5,416, 7,475.52 and 3,555.52

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Solution

The fourth proportional to 5,416, 7,475.52 and 3,555.52 is: 4,907.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416 : 7,475.52 = 3,555.52 : x
  2. Step 2: Convert to fraction form
    5,416/7,475.52 = 3,555.52/x
  3. Step 3: Cross multiply
    5,416x = 7,475.52 × 3,555.52
  4. Step 4: Simplify right side
    5,416x = 26,579,360.87
  5. Step 5: Solve for x
    x = 26,579,360.87/5,416
  6. Step 6: Final answer
    x = 4,907.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.