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Finding the Fourth Proportional to 4,965.61, 7,451.55 and 2,775.77

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Solution

The fourth proportional to 4,965.61, 7,451.55 and 2,775.77 is: 4,165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.61 : 7,451.55 = 2,775.77 : x
  2. Step 2: Convert to fraction form
    4,965.61/7,451.55 = 2,775.77/x
  3. Step 3: Cross multiply
    4,965.61x = 7,451.55 × 2,775.77
  4. Step 4: Simplify right side
    4,965.61x = 20,683,775.06
  5. Step 5: Solve for x
    x = 20,683,775.06/4,965.61
  6. Step 6: Final answer
    x = 4,165.41

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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.