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Finding the Fourth Proportional to 5,710.84, 8,564.40 and 2,012.44

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Solution

The fourth proportional to 5,710.84, 8,564.40 and 2,012.44 is: 3,018.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.84 : 8,564.40 = 2,012.44 : x
  2. Step 2: Convert to fraction form
    5,710.84/8,564.40 = 2,012.44/x
  3. Step 3: Cross multiply
    5,710.84x = 8,564.40 × 2,012.44
  4. Step 4: Simplify right side
    5,710.84x = 17,235,341.14
  5. Step 5: Solve for x
    x = 17,235,341.14/5,710.84
  6. Step 6: Final answer
    x = 3,018.00

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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.