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Finding the Fourth Proportional to 4,686, 6,466.75 and 2,590.13

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Solution

The fourth proportional to 4,686, 6,466.75 and 2,590.13 is: 3,574.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686 : 6,466.75 = 2,590.13 : x
  2. Step 2: Convert to fraction form
    4,686/6,466.75 = 2,590.13/x
  3. Step 3: Cross multiply
    4,686x = 6,466.75 × 2,590.13
  4. Step 4: Simplify right side
    4,686x = 16,749,684.37
  5. Step 5: Solve for x
    x = 16,749,684.37/4,686
  6. Step 6: Final answer
    x = 3,574.41

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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.