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Finding the Fourth Proportional to 5,113.36, 7,054.64 and 3,346

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Solution

The fourth proportional to 5,113.36, 7,054.64 and 3,346 is: 4,616.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.36 : 7,054.64 = 3,346 : x
  2. Step 2: Convert to fraction form
    5,113.36/7,054.64 = 3,346/x
  3. Step 3: Cross multiply
    5,113.36x = 7,054.64 × 3,346
  4. Step 4: Simplify right side
    5,113.36x = 23,604,825.44
  5. Step 5: Solve for x
    x = 23,604,825.44/5,113.36
  6. Step 6: Final answer
    x = 4,616.30

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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.