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Finding the Fourth Proportional to 4,716, 6,497.70 and 3,515.88

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Solution

The fourth proportional to 4,716, 6,497.70 and 3,515.88 is: 4,844.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716 : 6,497.70 = 3,515.88 : x
  2. Step 2: Convert to fraction form
    4,716/6,497.70 = 3,515.88/x
  3. Step 3: Cross multiply
    4,716x = 6,497.70 × 3,515.88
  4. Step 4: Simplify right side
    4,716x = 22,845,133.48
  5. Step 5: Solve for x
    x = 22,845,133.48/4,716
  6. Step 6: Final answer
    x = 4,844.18

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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.