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Finding the Fourth Proportional to 4,657.70, 6,427.96 and 2,668.75

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Solution

The fourth proportional to 4,657.70, 6,427.96 and 2,668.75 is: 3,683.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.70 : 6,427.96 = 2,668.75 : x
  2. Step 2: Convert to fraction form
    4,657.70/6,427.96 = 2,668.75/x
  3. Step 3: Cross multiply
    4,657.70x = 6,427.96 × 2,668.75
  4. Step 4: Simplify right side
    4,657.70x = 17,154,595.51
  5. Step 5: Solve for x
    x = 17,154,595.51/4,657.70
  6. Step 6: Final answer
    x = 3,683.06

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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.