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Finding the Fourth Proportional to 3,487.64, 4,810.93 and 2,089.58

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Solution

The fourth proportional to 3,487.64, 4,810.93 and 2,089.58 is: 2,882.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.64 : 4,810.93 = 2,089.58 : x
  2. Step 2: Convert to fraction form
    3,487.64/4,810.93 = 2,089.58/x
  3. Step 3: Cross multiply
    3,487.64x = 4,810.93 × 2,089.58
  4. Step 4: Simplify right side
    3,487.64x = 10,052,823.11
  5. Step 5: Solve for x
    x = 10,052,823.11/3,487.64
  6. Step 6: Final answer
    x = 2,882.41

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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.