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Finding the Fourth Proportional to 3,851.84, 5,315.40 and 2,173.32

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Solution

The fourth proportional to 3,851.84, 5,315.40 and 2,173.32 is: 2,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.84 : 5,315.40 = 2,173.32 : x
  2. Step 2: Convert to fraction form
    3,851.84/5,315.40 = 2,173.32/x
  3. Step 3: Cross multiply
    3,851.84x = 5,315.40 × 2,173.32
  4. Step 4: Simplify right side
    3,851.84x = 11,552,065.13
  5. Step 5: Solve for x
    x = 11,552,065.13/3,851.84
  6. Step 6: Final answer
    x = 2,999.10

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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.