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Finding the Fourth Proportional to 3,483.01, 4,806.43 and 1,911

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Solution

The fourth proportional to 3,483.01, 4,806.43 and 1,911 is: 2,637.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.01 : 4,806.43 = 1,911 : x
  2. Step 2: Convert to fraction form
    3,483.01/4,806.43 = 1,911/x
  3. Step 3: Cross multiply
    3,483.01x = 4,806.43 × 1,911
  4. Step 4: Simplify right side
    3,483.01x = 9,185,082.95
  5. Step 5: Solve for x
    x = 9,185,082.95/3,483.01
  6. Step 6: Final answer
    x = 2,637.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.