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Finding the Fourth Proportional to 4,666.17, 7,001.42 and 1,894.75

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Solution

The fourth proportional to 4,666.17, 7,001.42 and 1,894.75 is: 2,843.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.17 : 7,001.42 = 1,894.75 : x
  2. Step 2: Convert to fraction form
    4,666.17/7,001.42 = 1,894.75/x
  3. Step 3: Cross multiply
    4,666.17x = 7,001.42 × 1,894.75
  4. Step 4: Simplify right side
    4,666.17x = 13,265,940.55
  5. Step 5: Solve for x
    x = 13,265,940.55/4,666.17
  6. Step 6: Final answer
    x = 2,843.00

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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.