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Finding the Fourth Proportional to 4,866.58, 6,667.24 and 4,684.36

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Solution

The fourth proportional to 4,866.58, 6,667.24 and 4,684.36 is: 6,417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.58 : 6,667.24 = 4,684.36 : x
  2. Step 2: Convert to fraction form
    4,866.58/6,667.24 = 4,684.36/x
  3. Step 3: Cross multiply
    4,866.58x = 6,667.24 × 4,684.36
  4. Step 4: Simplify right side
    4,866.58x = 31,231,752.37
  5. Step 5: Solve for x
    x = 31,231,752.37/4,866.58
  6. Step 6: Final answer
    x = 6,417.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.