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Finding the Fourth Proportional to 3,141.40, 4,712.10 and 2,415.64

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Solution

The fourth proportional to 3,141.40, 4,712.10 and 2,415.64 is: 3,623.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.40 : 4,712.10 = 2,415.64 : x
  2. Step 2: Convert to fraction form
    3,141.40/4,712.10 = 2,415.64/x
  3. Step 3: Cross multiply
    3,141.40x = 4,712.10 × 2,415.64
  4. Step 4: Simplify right side
    3,141.40x = 11,382,737.24
  5. Step 5: Solve for x
    x = 11,382,737.24/3,141.40
  6. Step 6: Final answer
    x = 3,623.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.