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Finding the Fourth Proportional to 5,916.23, 8,874.68 and 1,533.57

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Solution

The fourth proportional to 5,916.23, 8,874.68 and 1,533.57 is: 2,300.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,916.23 : 8,874.68 = 1,533.57 : x
  2. Step 2: Convert to fraction form
    5,916.23/8,874.68 = 1,533.57/x
  3. Step 3: Cross multiply
    5,916.23x = 8,874.68 × 1,533.57
  4. Step 4: Simplify right side
    5,916.23x = 13,609,935.34
  5. Step 5: Solve for x
    x = 13,609,935.34/5,916.23
  6. Step 6: Final answer
    x = 2,300.44

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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.