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Finding the Fourth Proportional to 4,841, 6,681.40 and 2,746.34

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Solution

The fourth proportional to 4,841, 6,681.40 and 2,746.34 is: 3,790.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,841 : 6,681.40 = 2,746.34 : x
  2. Step 2: Convert to fraction form
    4,841/6,681.40 = 2,746.34/x
  3. Step 3: Cross multiply
    4,841x = 6,681.40 × 2,746.34
  4. Step 4: Simplify right side
    4,841x = 18,349,396.08
  5. Step 5: Solve for x
    x = 18,349,396.08/4,841
  6. Step 6: Final answer
    x = 3,790.41

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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.