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Finding the Fourth Proportional to 6,548.51, 9,038.12 and 4,190.57

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Solution

The fourth proportional to 6,548.51, 9,038.12 and 4,190.57 is: 5,783.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.51 : 9,038.12 = 4,190.57 : x
  2. Step 2: Convert to fraction form
    6,548.51/9,038.12 = 4,190.57/x
  3. Step 3: Cross multiply
    6,548.51x = 9,038.12 × 4,190.57
  4. Step 4: Simplify right side
    6,548.51x = 37,874,874.53
  5. Step 5: Solve for x
    x = 37,874,874.53/6,548.51
  6. Step 6: Final answer
    x = 5,783.74

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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.