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Finding the Fourth Proportional to 5,515.52, 7,612.06 and 3,158

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Solution

The fourth proportional to 5,515.52, 7,612.06 and 3,158 is: 4,358.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,515.52 : 7,612.06 = 3,158 : x
  2. Step 2: Convert to fraction form
    5,515.52/7,612.06 = 3,158/x
  3. Step 3: Cross multiply
    5,515.52x = 7,612.06 × 3,158
  4. Step 4: Simplify right side
    5,515.52x = 24,038,885.48
  5. Step 5: Solve for x
    x = 24,038,885.48/5,515.52
  6. Step 6: Final answer
    x = 4,358.41

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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.