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Finding the Fourth Proportional to 4,684.83, 6,465.14 and 2,560.40

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Solution

The fourth proportional to 4,684.83, 6,465.14 and 2,560.40 is: 3,533.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.83 : 6,465.14 = 2,560.40 : x
  2. Step 2: Convert to fraction form
    4,684.83/6,465.14 = 2,560.40/x
  3. Step 3: Cross multiply
    4,684.83x = 6,465.14 × 2,560.40
  4. Step 4: Simplify right side
    4,684.83x = 16,553,299.33
  5. Step 5: Solve for x
    x = 16,553,299.33/4,684.83
  6. Step 6: Final answer
    x = 3,533.38

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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.