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Finding the Fourth Proportional to 4,657.50, 6,425.64 and 2,666.70

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Solution

The fourth proportional to 4,657.50, 6,425.64 and 2,666.70 is: 3,679.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.50 : 6,425.64 = 2,666.70 : x
  2. Step 2: Convert to fraction form
    4,657.50/6,425.64 = 2,666.70/x
  3. Step 3: Cross multiply
    4,657.50x = 6,425.64 × 2,666.70
  4. Step 4: Simplify right side
    4,657.50x = 17,135,254.19
  5. Step 5: Solve for x
    x = 17,135,254.19/4,657.50
  6. Step 6: Final answer
    x = 3,679.07

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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.