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Finding the Fourth Proportional to 4,032.62, 5,564.10 and 3,089.54

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Solution

The fourth proportional to 4,032.62, 5,564.10 and 3,089.54 is: 4,262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,032.62 : 5,564.10 = 3,089.54 : x
  2. Step 2: Convert to fraction form
    4,032.62/5,564.10 = 3,089.54/x
  3. Step 3: Cross multiply
    4,032.62x = 5,564.10 × 3,089.54
  4. Step 4: Simplify right side
    4,032.62x = 17,190,509.51
  5. Step 5: Solve for x
    x = 17,190,509.51/4,032.62
  6. Step 6: Final answer
    x = 4,262.86

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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.