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Finding the Fourth Proportional to 5,953.15, 8,929.86 and 1,571.05

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Solution

The fourth proportional to 5,953.15, 8,929.86 and 1,571.05 is: 2,356.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.15 : 8,929.86 = 1,571.05 : x
  2. Step 2: Convert to fraction form
    5,953.15/8,929.86 = 1,571.05/x
  3. Step 3: Cross multiply
    5,953.15x = 8,929.86 × 1,571.05
  4. Step 4: Simplify right side
    5,953.15x = 14,029,256.55
  5. Step 5: Solve for x
    x = 14,029,256.55/5,953.15
  6. Step 6: Final answer
    x = 2,356.61

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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.