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Finding the Fourth Proportional to 5,655.26, 7,804.06 and 3,416.74

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Solution

The fourth proportional to 5,655.26, 7,804.06 and 3,416.74 is: 4,714.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.26 : 7,804.06 = 3,416.74 : x
  2. Step 2: Convert to fraction form
    5,655.26/7,804.06 = 3,416.74/x
  3. Step 3: Cross multiply
    5,655.26x = 7,804.06 × 3,416.74
  4. Step 4: Simplify right side
    5,655.26x = 26,664,404.94
  5. Step 5: Solve for x
    x = 26,664,404.94/5,655.26
  6. Step 6: Final answer
    x = 4,714.98

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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.