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Finding the Fourth Proportional to 3,034.04, 4,540.10 and 2,509.16

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Solution

The fourth proportional to 3,034.04, 4,540.10 and 2,509.16 is: 3,754.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.04 : 4,540.10 = 2,509.16 : x
  2. Step 2: Convert to fraction form
    3,034.04/4,540.10 = 2,509.16/x
  3. Step 3: Cross multiply
    3,034.04x = 4,540.10 × 2,509.16
  4. Step 4: Simplify right side
    3,034.04x = 11,391,802.07
  5. Step 5: Solve for x
    x = 11,391,802.07/3,034.04
  6. Step 6: Final answer
    x = 3,754.67

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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.