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Finding the Fourth Proportional to 4,652.47, 6,420.86 and 2,662.63

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Solution

The fourth proportional to 4,652.47, 6,420.86 and 2,662.63 is: 3,674.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.47 : 6,420.86 = 2,662.63 : x
  2. Step 2: Convert to fraction form
    4,652.47/6,420.86 = 2,662.63/x
  3. Step 3: Cross multiply
    4,652.47x = 6,420.86 × 2,662.63
  4. Step 4: Simplify right side
    4,652.47x = 17,096,374.46
  5. Step 5: Solve for x
    x = 17,096,374.46/4,652.47
  6. Step 6: Final answer
    x = 3,674.69

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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.