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Finding the Fourth Proportional to 3,782.95, 5,676 and 1,701.52

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Solution

The fourth proportional to 3,782.95, 5,676 and 1,701.52 is: 2,552.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.95 : 5,676 = 1,701.52 : x
  2. Step 2: Convert to fraction form
    3,782.95/5,676 = 1,701.52/x
  3. Step 3: Cross multiply
    3,782.95x = 5,676 × 1,701.52
  4. Step 4: Simplify right side
    3,782.95x = 9,657,827.52
  5. Step 5: Solve for x
    x = 9,657,827.52/3,782.95
  6. Step 6: Final answer
    x = 2,552.99

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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.