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Finding the Fourth Proportional to 5,454.75, 7,527.56 and 2,970.75

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Solution

The fourth proportional to 5,454.75, 7,527.56 and 2,970.75 is: 4,099.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.75 : 7,527.56 = 2,970.75 : x
  2. Step 2: Convert to fraction form
    5,454.75/7,527.56 = 2,970.75/x
  3. Step 3: Cross multiply
    5,454.75x = 7,527.56 × 2,970.75
  4. Step 4: Simplify right side
    5,454.75x = 22,362,484.02
  5. Step 5: Solve for x
    x = 22,362,484.02/5,454.75
  6. Step 6: Final answer
    x = 4,099.64

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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.