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Finding the Fourth Proportional to 5,093.16, 7,024.74 and 3,416.46

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Solution

The fourth proportional to 5,093.16, 7,024.74 and 3,416.46 is: 4,712.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.16 : 7,024.74 = 3,416.46 : x
  2. Step 2: Convert to fraction form
    5,093.16/7,024.74 = 3,416.46/x
  3. Step 3: Cross multiply
    5,093.16x = 7,024.74 × 3,416.46
  4. Step 4: Simplify right side
    5,093.16x = 23,999,743.22
  5. Step 5: Solve for x
    x = 23,999,743.22/5,093.16
  6. Step 6: Final answer
    x = 4,712.15

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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.