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Finding the Fourth Proportional to 5,485.28, 7,566.40 and 4,164.16

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Solution

The fourth proportional to 5,485.28, 7,566.40 and 4,164.16 is: 5,744.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,485.28 : 7,566.40 = 4,164.16 : x
  2. Step 2: Convert to fraction form
    5,485.28/7,566.40 = 4,164.16/x
  3. Step 3: Cross multiply
    5,485.28x = 7,566.40 × 4,164.16
  4. Step 4: Simplify right side
    5,485.28x = 31,507,700.22
  5. Step 5: Solve for x
    x = 31,507,700.22/5,485.28
  6. Step 6: Final answer
    x = 5,744.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.