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Finding the Fourth Proportional to 4,577.91, 6,866.87 and 1,655.53

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Solution

The fourth proportional to 4,577.91, 6,866.87 and 1,655.53 is: 2,483.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.91 : 6,866.87 = 1,655.53 : x
  2. Step 2: Convert to fraction form
    4,577.91/6,866.87 = 1,655.53/x
  3. Step 3: Cross multiply
    4,577.91x = 6,866.87 × 1,655.53
  4. Step 4: Simplify right side
    4,577.91x = 11,368,309.60
  5. Step 5: Solve for x
    x = 11,368,309.60/4,577.91
  6. Step 6: Final answer
    x = 2,483.30

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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.