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Finding the Fourth Proportional to 4,124.86, 6,188.50 and 1,527.19

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Solution

The fourth proportional to 4,124.86, 6,188.50 and 1,527.19 is: 2,291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,124.86 : 6,188.50 = 1,527.19 : x
  2. Step 2: Convert to fraction form
    4,124.86/6,188.50 = 1,527.19/x
  3. Step 3: Cross multiply
    4,124.86x = 6,188.50 × 1,527.19
  4. Step 4: Simplify right side
    4,124.86x = 9,451,001.75
  5. Step 5: Solve for x
    x = 9,451,001.75/4,124.86
  6. Step 6: Final answer
    x = 2,291.23

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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.