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Finding the Fourth Proportional to 5,971.47, 8,957.20 and 2,075.88

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Solution

The fourth proportional to 5,971.47, 8,957.20 and 2,075.88 is: 3,113.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.47 : 8,957.20 = 2,075.88 : x
  2. Step 2: Convert to fraction form
    5,971.47/8,957.20 = 2,075.88/x
  3. Step 3: Cross multiply
    5,971.47x = 8,957.20 × 2,075.88
  4. Step 4: Simplify right side
    5,971.47x = 18,594,032.74
  5. Step 5: Solve for x
    x = 18,594,032.74/5,971.47
  6. Step 6: Final answer
    x = 3,113.81

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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.