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Finding the Fourth Proportional to 5,714.46, 8,564.15 and 3,075.48

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Solution

The fourth proportional to 5,714.46, 8,564.15 and 3,075.48 is: 4,609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.46 : 8,564.15 = 3,075.48 : x
  2. Step 2: Convert to fraction form
    5,714.46/8,564.15 = 3,075.48/x
  3. Step 3: Cross multiply
    5,714.46x = 8,564.15 × 3,075.48
  4. Step 4: Simplify right side
    5,714.46x = 26,338,856.66
  5. Step 5: Solve for x
    x = 26,338,856.66/5,714.46
  6. Step 6: Final answer
    x = 4,609.16

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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.