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Finding the Fourth Proportional to 5,784.49, 8,676.58 and 1,624.53

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Solution

The fourth proportional to 5,784.49, 8,676.58 and 1,624.53 is: 2,436.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.49 : 8,676.58 = 1,624.53 : x
  2. Step 2: Convert to fraction form
    5,784.49/8,676.58 = 1,624.53/x
  3. Step 3: Cross multiply
    5,784.49x = 8,676.58 × 1,624.53
  4. Step 4: Simplify right side
    5,784.49x = 14,095,364.51
  5. Step 5: Solve for x
    x = 14,095,364.51/5,784.49
  6. Step 6: Final answer
    x = 2,436.75

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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.