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Finding the Fourth Proportional to 4,654.65, 6,983.64 and 2,897.15

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Solution

The fourth proportional to 4,654.65, 6,983.64 and 2,897.15 is: 4,346.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.65 : 6,983.64 = 2,897.15 : x
  2. Step 2: Convert to fraction form
    4,654.65/6,983.64 = 2,897.15/x
  3. Step 3: Cross multiply
    4,654.65x = 6,983.64 × 2,897.15
  4. Step 4: Simplify right side
    4,654.65x = 20,232,617.71
  5. Step 5: Solve for x
    x = 20,232,617.71/4,654.65
  6. Step 6: Final answer
    x = 4,346.75

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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.