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Finding the Fourth Proportional to 3,780.54, 5,671.55 and 1,315.44

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Solution

The fourth proportional to 3,780.54, 5,671.55 and 1,315.44 is: 1,973.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.54 : 5,671.55 = 1,315.44 : x
  2. Step 2: Convert to fraction form
    3,780.54/5,671.55 = 1,315.44/x
  3. Step 3: Cross multiply
    3,780.54x = 5,671.55 × 1,315.44
  4. Step 4: Simplify right side
    3,780.54x = 7,460,587.02
  5. Step 5: Solve for x
    x = 7,460,587.02/3,780.54
  6. Step 6: Final answer
    x = 1,973.42

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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.