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Finding the Fourth Proportional to 4,652.71, 6,408.26 and 4,302.37

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Solution

The fourth proportional to 4,652.71, 6,408.26 and 4,302.37 is: 5,925.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.71 : 6,408.26 = 4,302.37 : x
  2. Step 2: Convert to fraction form
    4,652.71/6,408.26 = 4,302.37/x
  3. Step 3: Cross multiply
    4,652.71x = 6,408.26 × 4,302.37
  4. Step 4: Simplify right side
    4,652.71x = 27,570,673.53
  5. Step 5: Solve for x
    x = 27,570,673.53/4,652.71
  6. Step 6: Final answer
    x = 5,925.73

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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.