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Finding the Fourth Proportional to 5,685.84, 8,527.82 and 1,526.30

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Solution

The fourth proportional to 5,685.84, 8,527.82 and 1,526.30 is: 2,289.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.84 : 8,527.82 = 1,526.30 : x
  2. Step 2: Convert to fraction form
    5,685.84/8,527.82 = 1,526.30/x
  3. Step 3: Cross multiply
    5,685.84x = 8,527.82 × 1,526.30
  4. Step 4: Simplify right side
    5,685.84x = 13,015,961.40
  5. Step 5: Solve for x
    x = 13,015,961.40/5,685.84
  6. Step 6: Final answer
    x = 2,289.19

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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.