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Finding the Fourth Proportional to 8,897, 13,345.82 and 3,349.80

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Solution

The fourth proportional to 8,897, 13,345.82 and 3,349.80 is: 5,024.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,897 : 13,345.82 = 3,349.80 : x
  2. Step 2: Convert to fraction form
    8,897/13,345.82 = 3,349.80/x
  3. Step 3: Cross multiply
    8,897x = 13,345.82 × 3,349.80
  4. Step 4: Simplify right side
    8,897x = 44,705,827.84
  5. Step 5: Solve for x
    x = 44,705,827.84/8,897
  6. Step 6: Final answer
    x = 5,024.82

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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.