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Finding the Fourth Proportional to 5,535.16, 7,615.86 and 4,786.72

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Solution

The fourth proportional to 5,535.16, 7,615.86 and 4,786.72 is: 6,586.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,535.16 : 7,615.86 = 4,786.72 : x
  2. Step 2: Convert to fraction form
    5,535.16/7,615.86 = 4,786.72/x
  3. Step 3: Cross multiply
    5,535.16x = 7,615.86 × 4,786.72
  4. Step 4: Simplify right side
    5,535.16x = 36,454,989.38
  5. Step 5: Solve for x
    x = 36,454,989.38/5,535.16
  6. Step 6: Final answer
    x = 6,586.08

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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.