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Finding the Fourth Proportional to 4,656.69, 6,424.41 and 2,666.19

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Solution

The fourth proportional to 4,656.69, 6,424.41 and 2,666.19 is: 3,678.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.69 : 6,424.41 = 2,666.19 : x
  2. Step 2: Convert to fraction form
    4,656.69/6,424.41 = 2,666.19/x
  3. Step 3: Cross multiply
    4,656.69x = 6,424.41 × 2,666.19
  4. Step 4: Simplify right side
    4,656.69x = 17,128,697.70
  5. Step 5: Solve for x
    x = 17,128,697.70/4,656.69
  6. Step 6: Final answer
    x = 3,678.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.