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Finding the Fourth Proportional to 3,820.95, 5,732.88 and 1,970.89

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Solution

The fourth proportional to 3,820.95, 5,732.88 and 1,970.89 is: 2,957.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.95 : 5,732.88 = 1,970.89 : x
  2. Step 2: Convert to fraction form
    3,820.95/5,732.88 = 1,970.89/x
  3. Step 3: Cross multiply
    3,820.95x = 5,732.88 × 1,970.89
  4. Step 4: Simplify right side
    3,820.95x = 11,298,875.86
  5. Step 5: Solve for x
    x = 11,298,875.86/3,820.95
  6. Step 6: Final answer
    x = 2,957.09

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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.