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Finding the Fourth Proportional to 5,631.84, 8,443.76 and 1,734.08

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Solution

The fourth proportional to 5,631.84, 8,443.76 and 1,734.08 is: 2,599.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.84 : 8,443.76 = 1,734.08 : x
  2. Step 2: Convert to fraction form
    5,631.84/8,443.76 = 1,734.08/x
  3. Step 3: Cross multiply
    5,631.84x = 8,443.76 × 1,734.08
  4. Step 4: Simplify right side
    5,631.84x = 14,642,155.34
  5. Step 5: Solve for x
    x = 14,642,155.34/5,631.84
  6. Step 6: Final answer
    x = 2,599.89

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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.