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Finding the Fourth Proportional to 4,097.70, 6,146.64 and 4,019.94

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Solution

The fourth proportional to 4,097.70, 6,146.64 and 4,019.94 is: 6,030.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.70 : 6,146.64 = 4,019.94 : x
  2. Step 2: Convert to fraction form
    4,097.70/6,146.64 = 4,019.94/x
  3. Step 3: Cross multiply
    4,097.70x = 6,146.64 × 4,019.94
  4. Step 4: Simplify right side
    4,097.70x = 24,709,124.00
  5. Step 5: Solve for x
    x = 24,709,124.00/4,097.70
  6. Step 6: Final answer
    x = 6,030.00

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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.