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Finding the Fourth Proportional to 4,965.84, 6,849.36 and 3,397.68

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Solution

The fourth proportional to 4,965.84, 6,849.36 and 3,397.68 is: 4,686.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.84 : 6,849.36 = 3,397.68 : x
  2. Step 2: Convert to fraction form
    4,965.84/6,849.36 = 3,397.68/x
  3. Step 3: Cross multiply
    4,965.84x = 6,849.36 × 3,397.68
  4. Step 4: Simplify right side
    4,965.84x = 23,271,933.48
  5. Step 5: Solve for x
    x = 23,271,933.48/4,965.84
  6. Step 6: Final answer
    x = 4,686.40

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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.