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Finding the Fourth Proportional to 5,718.79, 7,886.12 and 3,830.07

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Solution

The fourth proportional to 5,718.79, 7,886.12 and 3,830.07 is: 5,281.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.79 : 7,886.12 = 3,830.07 : x
  2. Step 2: Convert to fraction form
    5,718.79/7,886.12 = 3,830.07/x
  3. Step 3: Cross multiply
    5,718.79x = 7,886.12 × 3,830.07
  4. Step 4: Simplify right side
    5,718.79x = 30,204,391.63
  5. Step 5: Solve for x
    x = 30,204,391.63/5,718.79
  6. Step 6: Final answer
    x = 5,281.61

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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.