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Finding the Fourth Proportional to 4,841.84, 6,676.40 and 3,347.16

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Solution

The fourth proportional to 4,841.84, 6,676.40 and 3,347.16 is: 4,615.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,841.84 : 6,676.40 = 3,347.16 : x
  2. Step 2: Convert to fraction form
    4,841.84/6,676.40 = 3,347.16/x
  3. Step 3: Cross multiply
    4,841.84x = 6,676.40 × 3,347.16
  4. Step 4: Simplify right side
    4,841.84x = 22,346,979.02
  5. Step 5: Solve for x
    x = 22,346,979.02/4,841.84
  6. Step 6: Final answer
    x = 4,615.39

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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.