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Finding the Fourth Proportional to 4,967.10, 7,448.49 and 1,503.54

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Solution

The fourth proportional to 4,967.10, 7,448.49 and 1,503.54 is: 2,254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.10 : 7,448.49 = 1,503.54 : x
  2. Step 2: Convert to fraction form
    4,967.10/7,448.49 = 1,503.54/x
  3. Step 3: Cross multiply
    4,967.10x = 7,448.49 × 1,503.54
  4. Step 4: Simplify right side
    4,967.10x = 11,199,102.65
  5. Step 5: Solve for x
    x = 11,199,102.65/4,967.10
  6. Step 6: Final answer
    x = 2,254.66

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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.