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Finding the Fourth Proportional to 5,342.40, 8,006.40 and 2,052.24

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Solution

The fourth proportional to 5,342.40, 8,006.40 and 2,052.24 is: 3,075.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.40 : 8,006.40 = 2,052.24 : x
  2. Step 2: Convert to fraction form
    5,342.40/8,006.40 = 2,052.24/x
  3. Step 3: Cross multiply
    5,342.40x = 8,006.40 × 2,052.24
  4. Step 4: Simplify right side
    5,342.40x = 16,431,054.34
  5. Step 5: Solve for x
    x = 16,431,054.34/5,342.40
  6. Step 6: Final answer
    x = 3,075.59

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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.