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Finding the Fourth Proportional to 3,522.35, 4,856.24 and 3,030.28

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Solution

The fourth proportional to 3,522.35, 4,856.24 and 3,030.28 is: 4,177.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.35 : 4,856.24 = 3,030.28 : x
  2. Step 2: Convert to fraction form
    3,522.35/4,856.24 = 3,030.28/x
  3. Step 3: Cross multiply
    3,522.35x = 4,856.24 × 3,030.28
  4. Step 4: Simplify right side
    3,522.35x = 14,715,762.38
  5. Step 5: Solve for x
    x = 14,715,762.38/3,522.35
  6. Step 6: Final answer
    x = 4,177.82

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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.