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Finding the Fourth Proportional to 5,897.52, 8,847 and 2,435.76

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Solution

The fourth proportional to 5,897.52, 8,847 and 2,435.76 is: 3,653.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.52 : 8,847 = 2,435.76 : x
  2. Step 2: Convert to fraction form
    5,897.52/8,847 = 2,435.76/x
  3. Step 3: Cross multiply
    5,897.52x = 8,847 × 2,435.76
  4. Step 4: Simplify right side
    5,897.52x = 21,549,168.72
  5. Step 5: Solve for x
    x = 21,549,168.72/5,897.52
  6. Step 6: Final answer
    x = 3,653.94

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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.