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Finding the Fourth Proportional to 4,684.34, 6,464.34 and 2,588.46

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Solution

The fourth proportional to 4,684.34, 6,464.34 and 2,588.46 is: 3,572.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.34 : 6,464.34 = 2,588.46 : x
  2. Step 2: Convert to fraction form
    4,684.34/6,464.34 = 2,588.46/x
  3. Step 3: Cross multiply
    4,684.34x = 6,464.34 × 2,588.46
  4. Step 4: Simplify right side
    4,684.34x = 16,732,685.52
  5. Step 5: Solve for x
    x = 16,732,685.52/4,684.34
  6. Step 6: Final answer
    x = 3,572.05

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1.5x scale

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.