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Finding the Fourth Proportional to 4,602.30, 6,350.94 and 2,506.38

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Solution

The fourth proportional to 4,602.30, 6,350.94 and 2,506.38 is: 3,458.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.30 : 6,350.94 = 2,506.38 : x
  2. Step 2: Convert to fraction form
    4,602.30/6,350.94 = 2,506.38/x
  3. Step 3: Cross multiply
    4,602.30x = 6,350.94 × 2,506.38
  4. Step 4: Simplify right side
    4,602.30x = 15,917,869.00
  5. Step 5: Solve for x
    x = 15,917,869.00/4,602.30
  6. Step 6: Final answer
    x = 3,458.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.