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Finding the Fourth Proportional to 4,652.23, 6,420.02 and 2,527.71

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Solution

The fourth proportional to 4,652.23, 6,420.02 and 2,527.71 is: 3,488.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.23 : 6,420.02 = 2,527.71 : x
  2. Step 2: Convert to fraction form
    4,652.23/6,420.02 = 2,527.71/x
  3. Step 3: Cross multiply
    4,652.23x = 6,420.02 × 2,527.71
  4. Step 4: Simplify right side
    4,652.23x = 16,227,955.07
  5. Step 5: Solve for x
    x = 16,227,955.07/4,652.23
  6. Step 6: Final answer
    x = 3,488.21

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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.