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Finding the Fourth Proportional to 4,716, 6,505.68 and 2,725.35

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Solution

The fourth proportional to 4,716, 6,505.68 and 2,725.35 is: 3,759.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716 : 6,505.68 = 2,725.35 : x
  2. Step 2: Convert to fraction form
    4,716/6,505.68 = 2,725.35/x
  3. Step 3: Cross multiply
    4,716x = 6,505.68 × 2,725.35
  4. Step 4: Simplify right side
    4,716x = 17,730,254.99
  5. Step 5: Solve for x
    x = 17,730,254.99/4,716
  6. Step 6: Final answer
    x = 3,759.60

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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.