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Finding the Fourth Proportional to 4,754.86, 7,140.49 and 2,916.77

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Solution

The fourth proportional to 4,754.86, 7,140.49 and 2,916.77 is: 4,380.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.86 : 7,140.49 = 2,916.77 : x
  2. Step 2: Convert to fraction form
    4,754.86/7,140.49 = 2,916.77/x
  3. Step 3: Cross multiply
    4,754.86x = 7,140.49 × 2,916.77
  4. Step 4: Simplify right side
    4,754.86x = 20,827,124.02
  5. Step 5: Solve for x
    x = 20,827,124.02/4,754.86
  6. Step 6: Final answer
    x = 4,380.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.