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Finding the Fourth Proportional to 4,159.93, 6,236.58 and 2,402.93

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Solution

The fourth proportional to 4,159.93, 6,236.58 and 2,402.93 is: 3,602.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.93 : 6,236.58 = 2,402.93 : x
  2. Step 2: Convert to fraction form
    4,159.93/6,236.58 = 2,402.93/x
  3. Step 3: Cross multiply
    4,159.93x = 6,236.58 × 2,402.93
  4. Step 4: Simplify right side
    4,159.93x = 14,986,080.77
  5. Step 5: Solve for x
    x = 14,986,080.77/4,159.93
  6. Step 6: Final answer
    x = 3,602.49

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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.