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Finding the Fourth Proportional to 4,001.45, 5,998.93 and 1,535.00

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Solution

The fourth proportional to 4,001.45, 5,998.93 and 1,535.00 is: 2,301.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,001.45 : 5,998.93 = 1,535.00 : x
  2. Step 2: Convert to fraction form
    4,001.45/5,998.93 = 1,535.00/x
  3. Step 3: Cross multiply
    4,001.45x = 5,998.93 × 1,535.00
  4. Step 4: Simplify right side
    4,001.45x = 9,208,323.72
  5. Step 5: Solve for x
    x = 9,208,323.72/4,001.45
  6. Step 6: Final answer
    x = 2,301.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.