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Finding the Fourth Proportional to 6,458.07, 8,913.12 and 3,805.74

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Solution

The fourth proportional to 6,458.07, 8,913.12 and 3,805.74 is: 5,252.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.07 : 8,913.12 = 3,805.74 : x
  2. Step 2: Convert to fraction form
    6,458.07/8,913.12 = 3,805.74/x
  3. Step 3: Cross multiply
    6,458.07x = 8,913.12 × 3,805.74
  4. Step 4: Simplify right side
    6,458.07x = 33,921,017.31
  5. Step 5: Solve for x
    x = 33,921,017.31/6,458.07
  6. Step 6: Final answer
    x = 5,252.50

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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.