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Finding the Fourth Proportional to 4,597.69, 6,897.17 and 1,476.96

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Solution

The fourth proportional to 4,597.69, 6,897.17 and 1,476.96 is: 2,215.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.69 : 6,897.17 = 1,476.96 : x
  2. Step 2: Convert to fraction form
    4,597.69/6,897.17 = 1,476.96/x
  3. Step 3: Cross multiply
    4,597.69x = 6,897.17 × 1,476.96
  4. Step 4: Simplify right side
    4,597.69x = 10,186,844.20
  5. Step 5: Solve for x
    x = 10,186,844.20/4,597.69
  6. Step 6: Final answer
    x = 2,215.64

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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.