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Finding the Fourth Proportional to 4,602.42, 6,351.30 and 2,506.50

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Solution

The fourth proportional to 4,602.42, 6,351.30 and 2,506.50 is: 3,458.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.42 : 6,351.30 = 2,506.50 : x
  2. Step 2: Convert to fraction form
    4,602.42/6,351.30 = 2,506.50/x
  3. Step 3: Cross multiply
    4,602.42x = 6,351.30 × 2,506.50
  4. Step 4: Simplify right side
    4,602.42x = 15,919,533.45
  5. Step 5: Solve for x
    x = 15,919,533.45/4,602.42
  6. Step 6: Final answer
    x = 3,458.95

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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.