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Finding the Fourth Proportional to 3,590.94, 4,945.41 and 2,964

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Solution

The fourth proportional to 3,590.94, 4,945.41 and 2,964 is: 4,081.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.94 : 4,945.41 = 2,964 : x
  2. Step 2: Convert to fraction form
    3,590.94/4,945.41 = 2,964/x
  3. Step 3: Cross multiply
    3,590.94x = 4,945.41 × 2,964
  4. Step 4: Simplify right side
    3,590.94x = 14,658,195.24
  5. Step 5: Solve for x
    x = 14,658,195.24/3,590.94
  6. Step 6: Final answer
    x = 4,081.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.