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Finding the Fourth Proportional to 5,277.60, 7,916.40 and 3,632.49

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Solution

The fourth proportional to 5,277.60, 7,916.40 and 3,632.49 is: 5,448.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.60 : 7,916.40 = 3,632.49 : x
  2. Step 2: Convert to fraction form
    5,277.60/7,916.40 = 3,632.49/x
  3. Step 3: Cross multiply
    5,277.60x = 7,916.40 × 3,632.49
  4. Step 4: Simplify right side
    5,277.60x = 28,756,243.84
  5. Step 5: Solve for x
    x = 28,756,243.84/5,277.60
  6. Step 6: Final answer
    x = 5,448.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.