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Finding the Fourth Proportional to 5,300.54, 7,314.77 and 3,312.25

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Solution

The fourth proportional to 5,300.54, 7,314.77 and 3,312.25 is: 4,570.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.54 : 7,314.77 = 3,312.25 : x
  2. Step 2: Convert to fraction form
    5,300.54/7,314.77 = 3,312.25/x
  3. Step 3: Cross multiply
    5,300.54x = 7,314.77 × 3,312.25
  4. Step 4: Simplify right side
    5,300.54x = 24,228,346.93
  5. Step 5: Solve for x
    x = 24,228,346.93/5,300.54
  6. Step 6: Final answer
    x = 4,570.92

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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.