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Finding the Fourth Proportional to 5,415.24, 7,475.22 and 4,089.24

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Solution

The fourth proportional to 5,415.24, 7,475.22 and 4,089.24 is: 5,644.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.24 : 7,475.22 = 4,089.24 : x
  2. Step 2: Convert to fraction form
    5,415.24/7,475.22 = 4,089.24/x
  3. Step 3: Cross multiply
    5,415.24x = 7,475.22 × 4,089.24
  4. Step 4: Simplify right side
    5,415.24x = 30,567,968.63
  5. Step 5: Solve for x
    x = 30,567,968.63/5,415.24
  6. Step 6: Final answer
    x = 5,644.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.