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Finding the Fourth Proportional to 4,305.68, 5,941.38 and 2,417.30

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Solution

The fourth proportional to 4,305.68, 5,941.38 and 2,417.30 is: 3,335.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.68 : 5,941.38 = 2,417.30 : x
  2. Step 2: Convert to fraction form
    4,305.68/5,941.38 = 2,417.30/x
  3. Step 3: Cross multiply
    4,305.68x = 5,941.38 × 2,417.30
  4. Step 4: Simplify right side
    4,305.68x = 14,362,097.87
  5. Step 5: Solve for x
    x = 14,362,097.87/4,305.68
  6. Step 6: Final answer
    x = 3,335.62

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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.