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Finding the Fourth Proportional to 3,686.77, 5,528.02 and 1,220.93

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Solution

The fourth proportional to 3,686.77, 5,528.02 and 1,220.93 is: 1,830.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.77 : 5,528.02 = 1,220.93 : x
  2. Step 2: Convert to fraction form
    3,686.77/5,528.02 = 1,220.93/x
  3. Step 3: Cross multiply
    3,686.77x = 5,528.02 × 1,220.93
  4. Step 4: Simplify right side
    3,686.77x = 6,749,325.46
  5. Step 5: Solve for x
    x = 6,749,325.46/3,686.77
  6. Step 6: Final answer
    x = 1,830.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.