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Finding the Fourth Proportional to 4,949.76, 7,415.03 and 4,423.98

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Solution

The fourth proportional to 4,949.76, 7,415.03 and 4,423.98 is: 6,627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.76 : 7,415.03 = 4,423.98 : x
  2. Step 2: Convert to fraction form
    4,949.76/7,415.03 = 4,423.98/x
  3. Step 3: Cross multiply
    4,949.76x = 7,415.03 × 4,423.98
  4. Step 4: Simplify right side
    4,949.76x = 32,803,955.48
  5. Step 5: Solve for x
    x = 32,803,955.48/4,949.76
  6. Step 6: Final answer
    x = 6,627.38

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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.