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Finding the Fourth Proportional to 5,655.21, 7,802.99 and 3,416.64

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Solution

The fourth proportional to 5,655.21, 7,802.99 and 3,416.64 is: 4,714.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.21 : 7,802.99 = 3,416.64 : x
  2. Step 2: Convert to fraction form
    5,655.21/7,802.99 = 3,416.64/x
  3. Step 3: Cross multiply
    5,655.21x = 7,802.99 × 3,416.64
  4. Step 4: Simplify right side
    5,655.21x = 26,660,007.75
  5. Step 5: Solve for x
    x = 26,660,007.75/5,655.21
  6. Step 6: Final answer
    x = 4,714.24

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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.