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Finding the Fourth Proportional to 5,748.84, 8,623.68 and 1,856.04

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Solution

The fourth proportional to 5,748.84, 8,623.68 and 1,856.04 is: 2,784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.84 : 8,623.68 = 1,856.04 : x
  2. Step 2: Convert to fraction form
    5,748.84/8,623.68 = 1,856.04/x
  3. Step 3: Cross multiply
    5,748.84x = 8,623.68 × 1,856.04
  4. Step 4: Simplify right side
    5,748.84x = 16,005,895.03
  5. Step 5: Solve for x
    x = 16,005,895.03/5,748.84
  6. Step 6: Final answer
    x = 2,784.20

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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.