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Finding the Fourth Proportional to 5,099.84, 7,598.50 and 4,764.56

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Solution

The fourth proportional to 5,099.84, 7,598.50 and 4,764.56 is: 7,098.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.84 : 7,598.50 = 4,764.56 : x
  2. Step 2: Convert to fraction form
    5,099.84/7,598.50 = 4,764.56/x
  3. Step 3: Cross multiply
    5,099.84x = 7,598.50 × 4,764.56
  4. Step 4: Simplify right side
    5,099.84x = 36,203,509.16
  5. Step 5: Solve for x
    x = 36,203,509.16/5,099.84
  6. Step 6: Final answer
    x = 7,098.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.