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Finding the Fourth Proportional to 5,486.23, 7,564.99 and 3,714.76

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Solution

The fourth proportional to 5,486.23, 7,564.99 and 3,714.76 is: 5,122.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.23 : 7,564.99 = 3,714.76 : x
  2. Step 2: Convert to fraction form
    5,486.23/7,564.99 = 3,714.76/x
  3. Step 3: Cross multiply
    5,486.23x = 7,564.99 × 3,714.76
  4. Step 4: Simplify right side
    5,486.23x = 28,102,122.25
  5. Step 5: Solve for x
    x = 28,102,122.25/5,486.23
  6. Step 6: Final answer
    x = 5,122.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.