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Finding the Fourth Proportional to 4,342.52, 6,509.88 and 1,568.54

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Solution

The fourth proportional to 4,342.52, 6,509.88 and 1,568.54 is: 2,351.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.52 : 6,509.88 = 1,568.54 : x
  2. Step 2: Convert to fraction form
    4,342.52/6,509.88 = 1,568.54/x
  3. Step 3: Cross multiply
    4,342.52x = 6,509.88 × 1,568.54
  4. Step 4: Simplify right side
    4,342.52x = 10,210,974.63
  5. Step 5: Solve for x
    x = 10,210,974.63/4,342.52
  6. Step 6: Final answer
    x = 2,351.40

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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.