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Finding the Fourth Proportional to 4,549.02, 6,820.56 and 1,775.96

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Solution

The fourth proportional to 4,549.02, 6,820.56 and 1,775.96 is: 2,662.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.02 : 6,820.56 = 1,775.96 : x
  2. Step 2: Convert to fraction form
    4,549.02/6,820.56 = 1,775.96/x
  3. Step 3: Cross multiply
    4,549.02x = 6,820.56 × 1,775.96
  4. Step 4: Simplify right side
    4,549.02x = 12,113,041.74
  5. Step 5: Solve for x
    x = 12,113,041.74/4,549.02
  6. Step 6: Final answer
    x = 2,662.78

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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.