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Finding the Fourth Proportional to 5,953.81, 8,929.70 and 1,571.31

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Solution

The fourth proportional to 5,953.81, 8,929.70 and 1,571.31 is: 2,356.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.81 : 8,929.70 = 1,571.31 : x
  2. Step 2: Convert to fraction form
    5,953.81/8,929.70 = 1,571.31/x
  3. Step 3: Cross multiply
    5,953.81x = 8,929.70 × 1,571.31
  4. Step 4: Simplify right side
    5,953.81x = 14,031,326.91
  5. Step 5: Solve for x
    x = 14,031,326.91/5,953.81
  6. Step 6: Final answer
    x = 2,356.70

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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.