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Finding the Fourth Proportional to 4,295.93, 6,444.56 and 1,830.75

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Solution

The fourth proportional to 4,295.93, 6,444.56 and 1,830.75 is: 2,746.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295.93 : 6,444.56 = 1,830.75 : x
  2. Step 2: Convert to fraction form
    4,295.93/6,444.56 = 1,830.75/x
  3. Step 3: Cross multiply
    4,295.93x = 6,444.56 × 1,830.75
  4. Step 4: Simplify right side
    4,295.93x = 11,798,369.07
  5. Step 5: Solve for x
    x = 11,798,369.07/4,295.93
  6. Step 6: Final answer
    x = 2,746.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.