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Finding the Fourth Proportional to 4,666.65, 6,994.09 and 2,196.01

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Solution

The fourth proportional to 4,666.65, 6,994.09 and 2,196.01 is: 3,291.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.65 : 6,994.09 = 2,196.01 : x
  2. Step 2: Convert to fraction form
    4,666.65/6,994.09 = 2,196.01/x
  3. Step 3: Cross multiply
    4,666.65x = 6,994.09 × 2,196.01
  4. Step 4: Simplify right side
    4,666.65x = 15,359,091.58
  5. Step 5: Solve for x
    x = 15,359,091.58/4,666.65
  6. Step 6: Final answer
    x = 3,291.25

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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.