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Finding the Fourth Proportional to 6,584.48, 9,088.08 and 4,100

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Solution

The fourth proportional to 6,584.48, 9,088.08 and 4,100 is: 5,658.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.48 : 9,088.08 = 4,100 : x
  2. Step 2: Convert to fraction form
    6,584.48/9,088.08 = 4,100/x
  3. Step 3: Cross multiply
    6,584.48x = 9,088.08 × 4,100
  4. Step 4: Simplify right side
    6,584.48x = 37,261,128
  5. Step 5: Solve for x
    x = 37,261,128/6,584.48
  6. Step 6: Final answer
    x = 5,658.93

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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.