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Finding the Fourth Proportional to 5,975.50, 8,966.49 and 2,897.50

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Solution

The fourth proportional to 5,975.50, 8,966.49 and 2,897.50 is: 4,347.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.50 : 8,966.49 = 2,897.50 : x
  2. Step 2: Convert to fraction form
    5,975.50/8,966.49 = 2,897.50/x
  3. Step 3: Cross multiply
    5,975.50x = 8,966.49 × 2,897.50
  4. Step 4: Simplify right side
    5,975.50x = 25,980,404.78
  5. Step 5: Solve for x
    x = 25,980,404.78/5,975.50
  6. Step 6: Final answer
    x = 4,347.82

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1.5x scale

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.