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Finding the Fourth Proportional to 5,124.22, 7,643.87 and 4,973.15

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Solution

The fourth proportional to 5,124.22, 7,643.87 and 4,973.15 is: 7,418.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.22 : 7,643.87 = 4,973.15 : x
  2. Step 2: Convert to fraction form
    5,124.22/7,643.87 = 4,973.15/x
  3. Step 3: Cross multiply
    5,124.22x = 7,643.87 × 4,973.15
  4. Step 4: Simplify right side
    5,124.22x = 38,014,106.33
  5. Step 5: Solve for x
    x = 38,014,106.33/5,124.22
  6. Step 6: Final answer
    x = 7,418.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.