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Finding the Fourth Proportional to 4,597.88, 6,897.23 and 1,478.17

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Solution

The fourth proportional to 4,597.88, 6,897.23 and 1,478.17 is: 2,217.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.88 : 6,897.23 = 1,478.17 : x
  2. Step 2: Convert to fraction form
    4,597.88/6,897.23 = 1,478.17/x
  3. Step 3: Cross multiply
    4,597.88x = 6,897.23 × 1,478.17
  4. Step 4: Simplify right side
    4,597.88x = 10,195,236.59
  5. Step 5: Solve for x
    x = 10,195,236.59/4,597.88
  6. Step 6: Final answer
    x = 2,217.38

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