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Finding the Fourth Proportional to 4,666.95, 6,996.43 and 2,032.45

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Solution

The fourth proportional to 4,666.95, 6,996.43 and 2,032.45 is: 3,046.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.95 : 6,996.43 = 2,032.45 : x
  2. Step 2: Convert to fraction form
    4,666.95/6,996.43 = 2,032.45/x
  3. Step 3: Cross multiply
    4,666.95x = 6,996.43 × 2,032.45
  4. Step 4: Simplify right side
    4,666.95x = 14,219,894.15
  5. Step 5: Solve for x
    x = 14,219,894.15/4,666.95
  6. Step 6: Final answer
    x = 3,046.94

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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.