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Finding the Fourth Proportional to 3,065.52, 4,592.52 and 1,527.60

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Solution

The fourth proportional to 3,065.52, 4,592.52 and 1,527.60 is: 2,288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.52 : 4,592.52 = 1,527.60 : x
  2. Step 2: Convert to fraction form
    3,065.52/4,592.52 = 1,527.60/x
  3. Step 3: Cross multiply
    3,065.52x = 4,592.52 × 1,527.60
  4. Step 4: Simplify right side
    3,065.52x = 7,015,533.55
  5. Step 5: Solve for x
    x = 7,015,533.55/3,065.52
  6. Step 6: Final answer
    x = 2,288.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.