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Finding the Fourth Proportional to 4,651.39, 6,411.52 and 3,654.95

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Solution

The fourth proportional to 4,651.39, 6,411.52 and 3,654.95 is: 5,038.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.39 : 6,411.52 = 3,654.95 : x
  2. Step 2: Convert to fraction form
    4,651.39/6,411.52 = 3,654.95/x
  3. Step 3: Cross multiply
    4,651.39x = 6,411.52 × 3,654.95
  4. Step 4: Simplify right side
    4,651.39x = 23,433,785.02
  5. Step 5: Solve for x
    x = 23,433,785.02/4,651.39
  6. Step 6: Final answer
    x = 5,038.02

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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.