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Finding the Fourth Proportional to 4,369.08, 6,554.74 and 1,448.20

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Solution

The fourth proportional to 4,369.08, 6,554.74 and 1,448.20 is: 2,172.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,369.08 : 6,554.74 = 1,448.20 : x
  2. Step 2: Convert to fraction form
    4,369.08/6,554.74 = 1,448.20/x
  3. Step 3: Cross multiply
    4,369.08x = 6,554.74 × 1,448.20
  4. Step 4: Simplify right side
    4,369.08x = 9,492,574.47
  5. Step 5: Solve for x
    x = 9,492,574.47/4,369.08
  6. Step 6: Final answer
    x = 2,172.67

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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.