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Finding the Fourth Proportional to 3,513.58, 4,846.70 and 2,271.58

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Solution

The fourth proportional to 3,513.58, 4,846.70 and 2,271.58 is: 3,133.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.58 : 4,846.70 = 2,271.58 : x
  2. Step 2: Convert to fraction form
    3,513.58/4,846.70 = 2,271.58/x
  3. Step 3: Cross multiply
    3,513.58x = 4,846.70 × 2,271.58
  4. Step 4: Simplify right side
    3,513.58x = 11,009,666.79
  5. Step 5: Solve for x
    x = 11,009,666.79/3,513.58
  6. Step 6: Final answer
    x = 3,133.46

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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.