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Finding the Fourth Proportional to 5,493.32, 7,580.87 and 2,975.53

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Solution

The fourth proportional to 5,493.32, 7,580.87 and 2,975.53 is: 4,106.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.32 : 7,580.87 = 2,975.53 : x
  2. Step 2: Convert to fraction form
    5,493.32/7,580.87 = 2,975.53/x
  3. Step 3: Cross multiply
    5,493.32x = 7,580.87 × 2,975.53
  4. Step 4: Simplify right side
    5,493.32x = 22,557,106.11
  5. Step 5: Solve for x
    x = 22,557,106.11/5,493.32
  6. Step 6: Final answer
    x = 4,106.28

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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.