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Finding the Fourth Proportional to 4,438.41, 6,657.62 and 1,516.74

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Solution

The fourth proportional to 4,438.41, 6,657.62 and 1,516.74 is: 2,275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,438.41 : 6,657.62 = 1,516.74 : x
  2. Step 2: Convert to fraction form
    4,438.41/6,657.62 = 1,516.74/x
  3. Step 3: Cross multiply
    4,438.41x = 6,657.62 × 1,516.74
  4. Step 4: Simplify right side
    4,438.41x = 10,097,870.98
  5. Step 5: Solve for x
    x = 10,097,870.98/4,438.41
  6. Step 6: Final answer
    x = 2,275.11

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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.