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Finding the Fourth Proportional to 4,643.84, 6,958.08 and 3,411.74

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Solution

The fourth proportional to 4,643.84, 6,958.08 and 3,411.74 is: 5,111.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.84 : 6,958.08 = 3,411.74 : x
  2. Step 2: Convert to fraction form
    4,643.84/6,958.08 = 3,411.74/x
  3. Step 3: Cross multiply
    4,643.84x = 6,958.08 × 3,411.74
  4. Step 4: Simplify right side
    4,643.84x = 23,739,159.86
  5. Step 5: Solve for x
    x = 23,739,159.86/4,643.84
  6. Step 6: Final answer
    x = 5,111.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.