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Finding the Fourth Proportional to 4,101.46, 5,658.71 and 2,423.45

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Solution

The fourth proportional to 4,101.46, 5,658.71 and 2,423.45 is: 3,343.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.46 : 5,658.71 = 2,423.45 : x
  2. Step 2: Convert to fraction form
    4,101.46/5,658.71 = 2,423.45/x
  3. Step 3: Cross multiply
    4,101.46x = 5,658.71 × 2,423.45
  4. Step 4: Simplify right side
    4,101.46x = 13,713,620.95
  5. Step 5: Solve for x
    x = 13,713,620.95/4,101.46
  6. Step 6: Final answer
    x = 3,343.60

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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.