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Finding the Fourth Proportional to 8,400.95, 12,601.53 and 3,656

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Solution

The fourth proportional to 8,400.95, 12,601.53 and 3,656 is: 5,484.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.95 : 12,601.53 = 3,656 : x
  2. Step 2: Convert to fraction form
    8,400.95/12,601.53 = 3,656/x
  3. Step 3: Cross multiply
    8,400.95x = 12,601.53 × 3,656
  4. Step 4: Simplify right side
    8,400.95x = 46,071,193.68
  5. Step 5: Solve for x
    x = 46,071,193.68/8,400.95
  6. Step 6: Final answer
    x = 5,484.05

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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.