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Finding the Fourth Proportional to 4,712.51, 7,069.53 and 1,592.70

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Solution

The fourth proportional to 4,712.51, 7,069.53 and 1,592.70 is: 2,389.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.51 : 7,069.53 = 1,592.70 : x
  2. Step 2: Convert to fraction form
    4,712.51/7,069.53 = 1,592.70/x
  3. Step 3: Cross multiply
    4,712.51x = 7,069.53 × 1,592.70
  4. Step 4: Simplify right side
    4,712.51x = 11,259,640.43
  5. Step 5: Solve for x
    x = 11,259,640.43/4,712.51
  6. Step 6: Final answer
    x = 2,389.31

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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.