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Finding the Fourth Proportional to 5,113.99, 7,671.06 and 1,827.28

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Solution

The fourth proportional to 5,113.99, 7,671.06 and 1,827.28 is: 2,740.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.99 : 7,671.06 = 1,827.28 : x
  2. Step 2: Convert to fraction form
    5,113.99/7,671.06 = 1,827.28/x
  3. Step 3: Cross multiply
    5,113.99x = 7,671.06 × 1,827.28
  4. Step 4: Simplify right side
    5,113.99x = 14,017,165.38
  5. Step 5: Solve for x
    x = 14,017,165.38/5,113.99
  6. Step 6: Final answer
    x = 2,740.95

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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.