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Finding the Fourth Proportional to 5,873.34, 8,811.36 and 1,977.65

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Solution

The fourth proportional to 5,873.34, 8,811.36 and 1,977.65 is: 2,966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873.34 : 8,811.36 = 1,977.65 : x
  2. Step 2: Convert to fraction form
    5,873.34/8,811.36 = 1,977.65/x
  3. Step 3: Cross multiply
    5,873.34x = 8,811.36 × 1,977.65
  4. Step 4: Simplify right side
    5,873.34x = 17,425,786.10
  5. Step 5: Solve for x
    x = 17,425,786.10/5,873.34
  6. Step 6: Final answer
    x = 2,966.93

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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.