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Finding the Fourth Proportional to 4,672.66, 6,448.26 and 2,683.35

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Solution

The fourth proportional to 4,672.66, 6,448.26 and 2,683.35 is: 3,703.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.66 : 6,448.26 = 2,683.35 : x
  2. Step 2: Convert to fraction form
    4,672.66/6,448.26 = 2,683.35/x
  3. Step 3: Cross multiply
    4,672.66x = 6,448.26 × 2,683.35
  4. Step 4: Simplify right side
    4,672.66x = 17,302,938.47
  5. Step 5: Solve for x
    x = 17,302,938.47/4,672.66
  6. Step 6: Final answer
    x = 3,703.02

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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.