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Finding the Fourth Proportional to 4,652.34, 6,420.21 and 2,527.86

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Solution

The fourth proportional to 4,652.34, 6,420.21 and 2,527.86 is: 3,488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.34 : 6,420.21 = 2,527.86 : x
  2. Step 2: Convert to fraction form
    4,652.34/6,420.21 = 2,527.86/x
  3. Step 3: Cross multiply
    4,652.34x = 6,420.21 × 2,527.86
  4. Step 4: Simplify right side
    4,652.34x = 16,229,347.31
  5. Step 5: Solve for x
    x = 16,229,347.31/4,652.34
  6. Step 6: Final answer
    x = 3,488.43

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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.