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Finding the Fourth Proportional to 3,775.41, 5,665.21 and 1,312.00

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Solution

The fourth proportional to 3,775.41, 5,665.21 and 1,312.00 is: 1,968.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.41 : 5,665.21 = 1,312.00 : x
  2. Step 2: Convert to fraction form
    3,775.41/5,665.21 = 1,312.00/x
  3. Step 3: Cross multiply
    3,775.41x = 5,665.21 × 1,312.00
  4. Step 4: Simplify right side
    3,775.41x = 7,432,738.08
  5. Step 5: Solve for x
    x = 7,432,738.08/3,775.41
  6. Step 6: Final answer
    x = 1,968.72

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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.