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Finding the Fourth Proportional to 4,710.70, 7,066.68 and 1,589.38

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Solution

The fourth proportional to 4,710.70, 7,066.68 and 1,589.38 is: 2,384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.70 : 7,066.68 = 1,589.38 : x
  2. Step 2: Convert to fraction form
    4,710.70/7,066.68 = 1,589.38/x
  3. Step 3: Cross multiply
    4,710.70x = 7,066.68 × 1,589.38
  4. Step 4: Simplify right side
    4,710.70x = 11,231,639.86
  5. Step 5: Solve for x
    x = 11,231,639.86/4,710.70
  6. Step 6: Final answer
    x = 2,384.28

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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.