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Finding the Fourth Proportional to 3,873.84, 5,810.76 and 1,277.52

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Solution

The fourth proportional to 3,873.84, 5,810.76 and 1,277.52 is: 1,916.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.84 : 5,810.76 = 1,277.52 : x
  2. Step 2: Convert to fraction form
    3,873.84/5,810.76 = 1,277.52/x
  3. Step 3: Cross multiply
    3,873.84x = 5,810.76 × 1,277.52
  4. Step 4: Simplify right side
    3,873.84x = 7,423,362.12
  5. Step 5: Solve for x
    x = 7,423,362.12/3,873.84
  6. Step 6: Final answer
    x = 1,916.28

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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.