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Finding the Fourth Proportional to 4,974.55, 7,477.32 and 3,137.47

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Solution

The fourth proportional to 4,974.55, 7,477.32 and 3,137.47 is: 4,715.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.55 : 7,477.32 = 3,137.47 : x
  2. Step 2: Convert to fraction form
    4,974.55/7,477.32 = 3,137.47/x
  3. Step 3: Cross multiply
    4,974.55x = 7,477.32 × 3,137.47
  4. Step 4: Simplify right side
    4,974.55x = 23,459,867.18
  5. Step 5: Solve for x
    x = 23,459,867.18/4,974.55
  6. Step 6: Final answer
    x = 4,715.98

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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.