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Finding the Fourth Proportional to 6,152.60, 9,228.92 and 2,455.76

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Solution

The fourth proportional to 6,152.60, 9,228.92 and 2,455.76 is: 3,683.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.60 : 9,228.92 = 2,455.76 : x
  2. Step 2: Convert to fraction form
    6,152.60/9,228.92 = 2,455.76/x
  3. Step 3: Cross multiply
    6,152.60x = 9,228.92 × 2,455.76
  4. Step 4: Simplify right side
    6,152.60x = 22,664,012.58
  5. Step 5: Solve for x
    x = 22,664,012.58/6,152.60
  6. Step 6: Final answer
    x = 3,683.65

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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.