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Finding the Fourth Proportional to 3,730.77, 5,592.63 and 1,263.84

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Solution

The fourth proportional to 3,730.77, 5,592.63 and 1,263.84 is: 1,894.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.77 : 5,592.63 = 1,263.84 : x
  2. Step 2: Convert to fraction form
    3,730.77/5,592.63 = 1,263.84/x
  3. Step 3: Cross multiply
    3,730.77x = 5,592.63 × 1,263.84
  4. Step 4: Simplify right side
    3,730.77x = 7,068,189.50
  5. Step 5: Solve for x
    x = 7,068,189.50/3,730.77
  6. Step 6: Final answer
    x = 1,894.57

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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.