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Finding the Fourth Proportional to 4,848.94, 7,276.34 and 1,728.71

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Solution

The fourth proportional to 4,848.94, 7,276.34 and 1,728.71 is: 2,594.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,848.94 : 7,276.34 = 1,728.71 : x
  2. Step 2: Convert to fraction form
    4,848.94/7,276.34 = 1,728.71/x
  3. Step 3: Cross multiply
    4,848.94x = 7,276.34 × 1,728.71
  4. Step 4: Simplify right side
    4,848.94x = 12,578,681.72
  5. Step 5: Solve for x
    x = 12,578,681.72/4,848.94
  6. Step 6: Final answer
    x = 2,594.11

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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.