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Finding the Fourth Proportional to 4,628.64, 6,938.10 and 3,530.55

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Solution

The fourth proportional to 4,628.64, 6,938.10 and 3,530.55 is: 5,292.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,628.64 : 6,938.10 = 3,530.55 : x
  2. Step 2: Convert to fraction form
    4,628.64/6,938.10 = 3,530.55/x
  3. Step 3: Cross multiply
    4,628.64x = 6,938.10 × 3,530.55
  4. Step 4: Simplify right side
    4,628.64x = 24,495,308.96
  5. Step 5: Solve for x
    x = 24,495,308.96/4,628.64
  6. Step 6: Final answer
    x = 5,292.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.