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Finding the Fourth Proportional to 5,736.60, 8,603.95 and 1,840.50

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Solution

The fourth proportional to 5,736.60, 8,603.95 and 1,840.50 is: 2,760.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.60 : 8,603.95 = 1,840.50 : x
  2. Step 2: Convert to fraction form
    5,736.60/8,603.95 = 1,840.50/x
  3. Step 3: Cross multiply
    5,736.60x = 8,603.95 × 1,840.50
  4. Step 4: Simplify right side
    5,736.60x = 15,835,569.98
  5. Step 5: Solve for x
    x = 15,835,569.98/5,736.60
  6. Step 6: Final answer
    x = 2,760.45

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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.