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Finding the Fourth Proportional to 5,181.76, 7,772.10 and 1,483.76

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Solution

The fourth proportional to 5,181.76, 7,772.10 and 1,483.76 is: 2,225.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.76 : 7,772.10 = 1,483.76 : x
  2. Step 2: Convert to fraction form
    5,181.76/7,772.10 = 1,483.76/x
  3. Step 3: Cross multiply
    5,181.76x = 7,772.10 × 1,483.76
  4. Step 4: Simplify right side
    5,181.76x = 11,531,931.10
  5. Step 5: Solve for x
    x = 11,531,931.10/5,181.76
  6. Step 6: Final answer
    x = 2,225.49

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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.