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Finding the Fourth Proportional to 3,504.51, 4,842.36 and 2,802.15

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Solution

The fourth proportional to 3,504.51, 4,842.36 and 2,802.15 is: 3,871.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.51 : 4,842.36 = 2,802.15 : x
  2. Step 2: Convert to fraction form
    3,504.51/4,842.36 = 2,802.15/x
  3. Step 3: Cross multiply
    3,504.51x = 4,842.36 × 2,802.15
  4. Step 4: Simplify right side
    3,504.51x = 13,569,019.07
  5. Step 5: Solve for x
    x = 13,569,019.07/3,504.51
  6. Step 6: Final answer
    x = 3,871.87

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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.