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Finding the Fourth Proportional to 4,646.94, 6,968.40 and 2,889.30

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Solution

The fourth proportional to 4,646.94, 6,968.40 and 2,889.30 is: 4,332.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.94 : 6,968.40 = 2,889.30 : x
  2. Step 2: Convert to fraction form
    4,646.94/6,968.40 = 2,889.30/x
  3. Step 3: Cross multiply
    4,646.94x = 6,968.40 × 2,889.30
  4. Step 4: Simplify right side
    4,646.94x = 20,133,798.12
  5. Step 5: Solve for x
    x = 20,133,798.12/4,646.94
  6. Step 6: Final answer
    x = 4,332.70

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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.