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Finding the Fourth Proportional to 3,632.06, 5,015.10 and 2,574.10

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Solution

The fourth proportional to 3,632.06, 5,015.10 and 2,574.10 is: 3,554.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.06 : 5,015.10 = 2,574.10 : x
  2. Step 2: Convert to fraction form
    3,632.06/5,015.10 = 2,574.10/x
  3. Step 3: Cross multiply
    3,632.06x = 5,015.10 × 2,574.10
  4. Step 4: Simplify right side
    3,632.06x = 12,909,368.91
  5. Step 5: Solve for x
    x = 12,909,368.91/3,632.06
  6. Step 6: Final answer
    x = 3,554.28

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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.