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Finding the Fourth Proportional to 4,159.34, 5,733.15 and 3,926.06

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Solution

The fourth proportional to 4,159.34, 5,733.15 and 3,926.06 is: 5,411.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.34 : 5,733.15 = 3,926.06 : x
  2. Step 2: Convert to fraction form
    4,159.34/5,733.15 = 3,926.06/x
  3. Step 3: Cross multiply
    4,159.34x = 5,733.15 × 3,926.06
  4. Step 4: Simplify right side
    4,159.34x = 22,508,690.89
  5. Step 5: Solve for x
    x = 22,508,690.89/4,159.34
  6. Step 6: Final answer
    x = 5,411.60

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