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Finding the Fourth Proportional to 4,210.36, 5,809.98 and 2,347

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Solution

The fourth proportional to 4,210.36, 5,809.98 and 2,347 is: 3,238.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.36 : 5,809.98 = 2,347 : x
  2. Step 2: Convert to fraction form
    4,210.36/5,809.98 = 2,347/x
  3. Step 3: Cross multiply
    4,210.36x = 5,809.98 × 2,347
  4. Step 4: Simplify right side
    4,210.36x = 13,636,023.06
  5. Step 5: Solve for x
    x = 13,636,023.06/4,210.36
  6. Step 6: Final answer
    x = 3,238.68

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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.