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Finding the Fourth Proportional to 4,574, 6,312.39 and 2,584.51

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Solution

The fourth proportional to 4,574, 6,312.39 and 2,584.51 is: 3,566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574 : 6,312.39 = 2,584.51 : x
  2. Step 2: Convert to fraction form
    4,574/6,312.39 = 2,584.51/x
  3. Step 3: Cross multiply
    4,574x = 6,312.39 × 2,584.51
  4. Step 4: Simplify right side
    4,574x = 16,314,435.08
  5. Step 5: Solve for x
    x = 16,314,435.08/4,574
  6. Step 6: Final answer
    x = 3,566.78

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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.