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Finding the Fourth Proportional to 5,430.25, 7,493.75 and 2,946.25

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Solution

The fourth proportional to 5,430.25, 7,493.75 and 2,946.25 is: 4,065.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430.25 : 7,493.75 = 2,946.25 : x
  2. Step 2: Convert to fraction form
    5,430.25/7,493.75 = 2,946.25/x
  3. Step 3: Cross multiply
    5,430.25x = 7,493.75 × 2,946.25
  4. Step 4: Simplify right side
    5,430.25x = 22,078,460.94
  5. Step 5: Solve for x
    x = 22,078,460.94/5,430.25
  6. Step 6: Final answer
    x = 4,065.83

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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.