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Finding the Fourth Proportional to 3,643.57, 5,026.98 and 2,152.01

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Solution

The fourth proportional to 3,643.57, 5,026.98 and 2,152.01 is: 2,969.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.57 : 5,026.98 = 2,152.01 : x
  2. Step 2: Convert to fraction form
    3,643.57/5,026.98 = 2,152.01/x
  3. Step 3: Cross multiply
    3,643.57x = 5,026.98 × 2,152.01
  4. Step 4: Simplify right side
    3,643.57x = 10,818,111.23
  5. Step 5: Solve for x
    x = 10,818,111.23/3,643.57
  6. Step 6: Final answer
    x = 2,969.10

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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.