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Finding the Fourth Proportional to 5,790.15, 8,685.14 and 1,894.50

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Solution

The fourth proportional to 5,790.15, 8,685.14 and 1,894.50 is: 2,841.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.15 : 8,685.14 = 1,894.50 : x
  2. Step 2: Convert to fraction form
    5,790.15/8,685.14 = 1,894.50/x
  3. Step 3: Cross multiply
    5,790.15x = 8,685.14 × 1,894.50
  4. Step 4: Simplify right side
    5,790.15x = 16,453,988.26
  5. Step 5: Solve for x
    x = 16,453,988.26/5,790.15
  6. Step 6: Final answer
    x = 2,841.72

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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.