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Finding the Fourth Proportional to 3,785.95, 5,677.10 and 1,320.72

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Solution

The fourth proportional to 3,785.95, 5,677.10 and 1,320.72 is: 1,980.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.95 : 5,677.10 = 1,320.72 : x
  2. Step 2: Convert to fraction form
    3,785.95/5,677.10 = 1,320.72/x
  3. Step 3: Cross multiply
    3,785.95x = 5,677.10 × 1,320.72
  4. Step 4: Simplify right side
    3,785.95x = 7,497,859.51
  5. Step 5: Solve for x
    x = 7,497,859.51/3,785.95
  6. Step 6: Final answer
    x = 1,980.44

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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.