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Finding the Fourth Proportional to 4,477.56, 6,713.64 and 1,356.60

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Solution

The fourth proportional to 4,477.56, 6,713.64 and 1,356.60 is: 2,034.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.56 : 6,713.64 = 1,356.60 : x
  2. Step 2: Convert to fraction form
    4,477.56/6,713.64 = 1,356.60/x
  3. Step 3: Cross multiply
    4,477.56x = 6,713.64 × 1,356.60
  4. Step 4: Simplify right side
    4,477.56x = 9,107,724.02
  5. Step 5: Solve for x
    x = 9,107,724.02/4,477.56
  6. Step 6: Final answer
    x = 2,034.08

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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.