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Finding the Fourth Proportional to 4,646.69, 6,972.42 and 3,087.77

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Solution

The fourth proportional to 4,646.69, 6,972.42 and 3,087.77 is: 4,633.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.69 : 6,972.42 = 3,087.77 : x
  2. Step 2: Convert to fraction form
    4,646.69/6,972.42 = 3,087.77/x
  3. Step 3: Cross multiply
    4,646.69x = 6,972.42 × 3,087.77
  4. Step 4: Simplify right side
    4,646.69x = 21,529,206.02
  5. Step 5: Solve for x
    x = 21,529,206.02/4,646.69
  6. Step 6: Final answer
    x = 4,633.24

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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.