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Finding the Fourth Proportional to 3,583.95, 5,378.03 and 1,503.77

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Solution

The fourth proportional to 3,583.95, 5,378.03 and 1,503.77 is: 2,256.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.95 : 5,378.03 = 1,503.77 : x
  2. Step 2: Convert to fraction form
    3,583.95/5,378.03 = 1,503.77/x
  3. Step 3: Cross multiply
    3,583.95x = 5,378.03 × 1,503.77
  4. Step 4: Simplify right side
    3,583.95x = 8,087,285.76
  5. Step 5: Solve for x
    x = 8,087,285.76/3,583.95
  6. Step 6: Final answer
    x = 2,256.53

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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.