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Finding the Fourth Proportional to 5,303.23, 7,319.04 and 3,034.78

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Solution

The fourth proportional to 5,303.23, 7,319.04 and 3,034.78 is: 4,188.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.23 : 7,319.04 = 3,034.78 : x
  2. Step 2: Convert to fraction form
    5,303.23/7,319.04 = 3,034.78/x
  3. Step 3: Cross multiply
    5,303.23x = 7,319.04 × 3,034.78
  4. Step 4: Simplify right side
    5,303.23x = 22,211,704.77
  5. Step 5: Solve for x
    x = 22,211,704.77/5,303.23
  6. Step 6: Final answer
    x = 4,188.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.