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Finding the Fourth Proportional to 4,602.90, 6,353.40 and 4,367.76

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Solution

The fourth proportional to 4,602.90, 6,353.40 and 4,367.76 is: 6,028.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.90 : 6,353.40 = 4,367.76 : x
  2. Step 2: Convert to fraction form
    4,602.90/6,353.40 = 4,367.76/x
  3. Step 3: Cross multiply
    4,602.90x = 6,353.40 × 4,367.76
  4. Step 4: Simplify right side
    4,602.90x = 27,750,126.38
  5. Step 5: Solve for x
    x = 27,750,126.38/4,602.90
  6. Step 6: Final answer
    x = 6,028.84

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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.