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Finding the Fourth Proportional to 5,655.09, 7,804.22 and 3,416.52

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Solution

The fourth proportional to 5,655.09, 7,804.22 and 3,416.52 is: 4,714.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.09 : 7,804.22 = 3,416.52 : x
  2. Step 2: Convert to fraction form
    5,655.09/7,804.22 = 3,416.52/x
  3. Step 3: Cross multiply
    5,655.09x = 7,804.22 × 3,416.52
  4. Step 4: Simplify right side
    5,655.09x = 26,663,273.71
  5. Step 5: Solve for x
    x = 26,663,273.71/5,655.09
  6. Step 6: Final answer
    x = 4,714.92

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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.