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Finding the Fourth Proportional to 4,340.51, 5,985.43 and 3,713.12

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Solution

The fourth proportional to 4,340.51, 5,985.43 and 3,713.12 is: 5,120.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.51 : 5,985.43 = 3,713.12 : x
  2. Step 2: Convert to fraction form
    4,340.51/5,985.43 = 3,713.12/x
  3. Step 3: Cross multiply
    4,340.51x = 5,985.43 × 3,713.12
  4. Step 4: Simplify right side
    4,340.51x = 22,224,619.84
  5. Step 5: Solve for x
    x = 22,224,619.84/4,340.51
  6. Step 6: Final answer
    x = 5,120.28

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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.