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Finding the Fourth Proportional to 4,652.05, 6,419.80 and 2,527.60

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Solution

The fourth proportional to 4,652.05, 6,419.80 and 2,527.60 is: 3,488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.05 : 6,419.80 = 2,527.60 : x
  2. Step 2: Convert to fraction form
    4,652.05/6,419.80 = 2,527.60/x
  3. Step 3: Cross multiply
    4,652.05x = 6,419.80 × 2,527.60
  4. Step 4: Simplify right side
    4,652.05x = 16,226,641.74
  5. Step 5: Solve for x
    x = 16,226,641.74/4,652.05
  6. Step 6: Final answer
    x = 3,488.07

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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.