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Finding the Fourth Proportional to 4,666.51, 7,000.15 and 1,546.39

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Solution

The fourth proportional to 4,666.51, 7,000.15 and 1,546.39 is: 2,319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.51 : 7,000.15 = 1,546.39 : x
  2. Step 2: Convert to fraction form
    4,666.51/7,000.15 = 1,546.39/x
  3. Step 3: Cross multiply
    4,666.51x = 7,000.15 × 1,546.39
  4. Step 4: Simplify right side
    4,666.51x = 10,824,954.23
  5. Step 5: Solve for x
    x = 10,824,954.23/4,666.51
  6. Step 6: Final answer
    x = 2,319.71

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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.