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Finding the Fourth Proportional to 4,210, 5,810 and 2,347

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Solution

The fourth proportional to 4,210, 5,810 and 2,347 is: 3,238.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210 : 5,810 = 2,347 : x
  2. Step 2: Convert to fraction form
    4,210/5,810 = 2,347/x
  3. Step 3: Cross multiply
    4,210x = 5,810 × 2,347
  4. Step 4: Simplify right side
    4,210x = 13,636,070
  5. Step 5: Solve for x
    x = 13,636,070/4,210
  6. Step 6: Final answer
    x = 3,238.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.