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Finding the Fourth Proportional to 4,594.82, 6,341.89 and 2,802.90

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Solution

The fourth proportional to 4,594.82, 6,341.89 and 2,802.90 is: 3,868.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.82 : 6,341.89 = 2,802.90 : x
  2. Step 2: Convert to fraction form
    4,594.82/6,341.89 = 2,802.90/x
  3. Step 3: Cross multiply
    4,594.82x = 6,341.89 × 2,802.90
  4. Step 4: Simplify right side
    4,594.82x = 17,775,669.47
  5. Step 5: Solve for x
    x = 17,775,669.47/4,594.82
  6. Step 6: Final answer
    x = 3,868.64

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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.