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Finding the Fourth Proportional to 5,890.13, 8,835.31 and 4,714.67

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Solution

The fourth proportional to 5,890.13, 8,835.31 and 4,714.67 is: 7,072.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.13 : 8,835.31 = 4,714.67 : x
  2. Step 2: Convert to fraction form
    5,890.13/8,835.31 = 4,714.67/x
  3. Step 3: Cross multiply
    5,890.13x = 8,835.31 × 4,714.67
  4. Step 4: Simplify right side
    5,890.13x = 41,655,607.67
  5. Step 5: Solve for x
    x = 41,655,607.67/5,890.13
  6. Step 6: Final answer
    x = 7,072.10

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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.