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Finding the Fourth Proportional to 4,764.95, 7,147.08 and 1,477.95

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Solution

The fourth proportional to 4,764.95, 7,147.08 and 1,477.95 is: 2,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.95 : 7,147.08 = 1,477.95 : x
  2. Step 2: Convert to fraction form
    4,764.95/7,147.08 = 1,477.95/x
  3. Step 3: Cross multiply
    4,764.95x = 7,147.08 × 1,477.95
  4. Step 4: Simplify right side
    4,764.95x = 10,563,037.36
  5. Step 5: Solve for x
    x = 10,563,037.36/4,764.95
  6. Step 6: Final answer
    x = 2,216.82

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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.