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Finding the Fourth Proportional to 4,330, 6,497.88 and 1,594

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Solution

The fourth proportional to 4,330, 6,497.88 and 1,594 is: 2,392.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,330 : 6,497.88 = 1,594 : x
  2. Step 2: Convert to fraction form
    4,330/6,497.88 = 1,594/x
  3. Step 3: Cross multiply
    4,330x = 6,497.88 × 1,594
  4. Step 4: Simplify right side
    4,330x = 10,357,620.72
  5. Step 5: Solve for x
    x = 10,357,620.72/4,330
  6. Step 6: Final answer
    x = 2,392.06

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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.