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Finding the Fourth Proportional to 3,403.95, 4,697.28 and 1,911.93

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Solution

The fourth proportional to 3,403.95, 4,697.28 and 1,911.93 is: 2,638.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.95 : 4,697.28 = 1,911.93 : x
  2. Step 2: Convert to fraction form
    3,403.95/4,697.28 = 1,911.93/x
  3. Step 3: Cross multiply
    3,403.95x = 4,697.28 × 1,911.93
  4. Step 4: Simplify right side
    3,403.95x = 8,980,870.55
  5. Step 5: Solve for x
    x = 8,980,870.55/3,403.95
  6. Step 6: Final answer
    x = 2,638.37

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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.