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Finding the Fourth Proportional to 5,430.84, 7,494.74 and 3,072.93

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Solution

The fourth proportional to 5,430.84, 7,494.74 and 3,072.93 is: 4,240.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430.84 : 7,494.74 = 3,072.93 : x
  2. Step 2: Convert to fraction form
    5,430.84/7,494.74 = 3,072.93/x
  3. Step 3: Cross multiply
    5,430.84x = 7,494.74 × 3,072.93
  4. Step 4: Simplify right side
    5,430.84x = 23,030,796.02
  5. Step 5: Solve for x
    x = 23,030,796.02/5,430.84
  6. Step 6: Final answer
    x = 4,240.74

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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.