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Finding the Fourth Proportional to 4,210, 6,315.81 and 1,901.50

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Solution

The fourth proportional to 4,210, 6,315.81 and 1,901.50 is: 2,852.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210 : 6,315.81 = 1,901.50 : x
  2. Step 2: Convert to fraction form
    4,210/6,315.81 = 1,901.50/x
  3. Step 3: Cross multiply
    4,210x = 6,315.81 × 1,901.50
  4. Step 4: Simplify right side
    4,210x = 12,009,512.72
  5. Step 5: Solve for x
    x = 12,009,512.72/4,210
  6. Step 6: Final answer
    x = 2,852.62

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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.