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Finding the Fourth Proportional to 4,295.79, 5,929.47 and 2,968.20

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Solution

The fourth proportional to 4,295.79, 5,929.47 and 2,968.20 is: 4,097.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295.79 : 5,929.47 = 2,968.20 : x
  2. Step 2: Convert to fraction form
    4,295.79/5,929.47 = 2,968.20/x
  3. Step 3: Cross multiply
    4,295.79x = 5,929.47 × 2,968.20
  4. Step 4: Simplify right side
    4,295.79x = 17,599,852.85
  5. Step 5: Solve for x
    x = 17,599,852.85/4,295.79
  6. Step 6: Final answer
    x = 4,097.00

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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.