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Finding the Fourth Proportional to 3,570.88, 5,346.58 and 2,777.48

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Solution

The fourth proportional to 3,570.88, 5,346.58 and 2,777.48 is: 4,158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.88 : 5,346.58 = 2,777.48 : x
  2. Step 2: Convert to fraction form
    3,570.88/5,346.58 = 2,777.48/x
  3. Step 3: Cross multiply
    3,570.88x = 5,346.58 × 2,777.48
  4. Step 4: Simplify right side
    3,570.88x = 14,850,019.02
  5. Step 5: Solve for x
    x = 14,850,019.02/3,570.88
  6. Step 6: Final answer
    x = 4,158.64

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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.