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Finding the Fourth Proportional to 5,460.99, 7,538.66 and 4,476.84

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Solution

The fourth proportional to 5,460.99, 7,538.66 and 4,476.84 is: 6,180.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.99 : 7,538.66 = 4,476.84 : x
  2. Step 2: Convert to fraction form
    5,460.99/7,538.66 = 4,476.84/x
  3. Step 3: Cross multiply
    5,460.99x = 7,538.66 × 4,476.84
  4. Step 4: Simplify right side
    5,460.99x = 33,749,352.25
  5. Step 5: Solve for x
    x = 33,749,352.25/5,460.99
  6. Step 6: Final answer
    x = 6,180.08

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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.