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Finding the Fourth Proportional to 4,897.24, 7,329.46 and 4,019.71

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Solution

The fourth proportional to 4,897.24, 7,329.46 and 4,019.71 is: 6,016.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.24 : 7,329.46 = 4,019.71 : x
  2. Step 2: Convert to fraction form
    4,897.24/7,329.46 = 4,019.71/x
  3. Step 3: Cross multiply
    4,897.24x = 7,329.46 × 4,019.71
  4. Step 4: Simplify right side
    4,897.24x = 29,462,303.66
  5. Step 5: Solve for x
    x = 29,462,303.66/4,897.24
  6. Step 6: Final answer
    x = 6,016.10

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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.