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Finding the Fourth Proportional to 4,663.15, 6,994.74 and 1,889.87

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Solution

The fourth proportional to 4,663.15, 6,994.74 and 1,889.87 is: 2,834.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.15 : 6,994.74 = 1,889.87 : x
  2. Step 2: Convert to fraction form
    4,663.15/6,994.74 = 1,889.87/x
  3. Step 3: Cross multiply
    4,663.15x = 6,994.74 × 1,889.87
  4. Step 4: Simplify right side
    4,663.15x = 13,219,166.77
  5. Step 5: Solve for x
    x = 13,219,166.77/4,663.15
  6. Step 6: Final answer
    x = 2,834.82

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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.