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Finding the Fourth Proportional to 4,666.17, 7,001.69 and 2,068.50

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Solution

The fourth proportional to 4,666.17, 7,001.69 and 2,068.50 is: 3,103.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.17 : 7,001.69 = 2,068.50 : x
  2. Step 2: Convert to fraction form
    4,666.17/7,001.69 = 2,068.50/x
  3. Step 3: Cross multiply
    4,666.17x = 7,001.69 × 2,068.50
  4. Step 4: Simplify right side
    4,666.17x = 14,482,985.42
  5. Step 5: Solve for x
    x = 14,482,985.42/4,666.17
  6. Step 6: Final answer
    x = 3,103.83

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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.