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Finding the Fourth Proportional to 4,802.94, 6,628.06 and 2,594.94

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Solution

The fourth proportional to 4,802.94, 6,628.06 and 2,594.94 is: 3,581.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.94 : 6,628.06 = 2,594.94 : x
  2. Step 2: Convert to fraction form
    4,802.94/6,628.06 = 2,594.94/x
  3. Step 3: Cross multiply
    4,802.94x = 6,628.06 × 2,594.94
  4. Step 4: Simplify right side
    4,802.94x = 17,199,418.02
  5. Step 5: Solve for x
    x = 17,199,418.02/4,802.94
  6. Step 6: Final answer
    x = 3,581.02

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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.