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Finding the Fourth Proportional to 3,509.22, 5,262.52 and 1,534.74

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Solution

The fourth proportional to 3,509.22, 5,262.52 and 1,534.74 is: 2,301.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.22 : 5,262.52 = 1,534.74 : x
  2. Step 2: Convert to fraction form
    3,509.22/5,262.52 = 1,534.74/x
  3. Step 3: Cross multiply
    3,509.22x = 5,262.52 × 1,534.74
  4. Step 4: Simplify right side
    3,509.22x = 8,076,599.94
  5. Step 5: Solve for x
    x = 8,076,599.94/3,509.22
  6. Step 6: Final answer
    x = 2,301.54

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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.