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Finding the Fourth Proportional to 4,641.30, 6,941.30 and 4,124.93

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Solution

The fourth proportional to 4,641.30, 6,941.30 and 4,124.93 is: 6,169.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.30 : 6,941.30 = 4,124.93 : x
  2. Step 2: Convert to fraction form
    4,641.30/6,941.30 = 4,124.93/x
  3. Step 3: Cross multiply
    4,641.30x = 6,941.30 × 4,124.93
  4. Step 4: Simplify right side
    4,641.30x = 28,632,321.28
  5. Step 5: Solve for x
    x = 28,632,321.28/4,641.30
  6. Step 6: Final answer
    x = 6,169.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.