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Finding the Fourth Proportional to 4,677.70, 7,013.94 and 2,332.93

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Solution

The fourth proportional to 4,677.70, 7,013.94 and 2,332.93 is: 3,498.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.70 : 7,013.94 = 2,332.93 : x
  2. Step 2: Convert to fraction form
    4,677.70/7,013.94 = 2,332.93/x
  3. Step 3: Cross multiply
    4,677.70x = 7,013.94 × 2,332.93
  4. Step 4: Simplify right side
    4,677.70x = 16,363,031.04
  5. Step 5: Solve for x
    x = 16,363,031.04/4,677.70
  6. Step 6: Final answer
    x = 3,498.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.