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Finding the Fourth Proportional to 3,932.65, 5,898.09 and 1,159.51

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Solution

The fourth proportional to 3,932.65, 5,898.09 and 1,159.51 is: 1,739.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.65 : 5,898.09 = 1,159.51 : x
  2. Step 2: Convert to fraction form
    3,932.65/5,898.09 = 1,159.51/x
  3. Step 3: Cross multiply
    3,932.65x = 5,898.09 × 1,159.51
  4. Step 4: Simplify right side
    3,932.65x = 6,838,894.34
  5. Step 5: Solve for x
    x = 6,838,894.34/3,932.65
  6. Step 6: Final answer
    x = 1,739.00

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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.