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Finding the Fourth Proportional to 4,671.11, 7,006.64 and 1,897.76

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Solution

The fourth proportional to 4,671.11, 7,006.64 and 1,897.76 is: 2,846.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.11 : 7,006.64 = 1,897.76 : x
  2. Step 2: Convert to fraction form
    4,671.11/7,006.64 = 1,897.76/x
  3. Step 3: Cross multiply
    4,671.11x = 7,006.64 × 1,897.76
  4. Step 4: Simplify right side
    4,671.11x = 13,296,876.60
  5. Step 5: Solve for x
    x = 13,296,876.60/4,671.11
  6. Step 6: Final answer
    x = 2,846.62

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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.