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Finding the Fourth Proportional to 4,652.19, 6,420.04 and 2,527.72

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Solution

The fourth proportional to 4,652.19, 6,420.04 and 2,527.72 is: 3,488.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.19 : 6,420.04 = 2,527.72 : x
  2. Step 2: Convert to fraction form
    4,652.19/6,420.04 = 2,527.72/x
  3. Step 3: Cross multiply
    4,652.19x = 6,420.04 × 2,527.72
  4. Step 4: Simplify right side
    4,652.19x = 16,228,041.14
  5. Step 5: Solve for x
    x = 16,228,041.14/4,652.19
  6. Step 6: Final answer
    x = 3,488.26

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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.