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Finding the Fourth Proportional to 5,829.78, 8,045.10 and 3,345.78

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Solution

The fourth proportional to 5,829.78, 8,045.10 and 3,345.78 is: 4,617.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.78 : 8,045.10 = 3,345.78 : x
  2. Step 2: Convert to fraction form
    5,829.78/8,045.10 = 3,345.78/x
  3. Step 3: Cross multiply
    5,829.78x = 8,045.10 × 3,345.78
  4. Step 4: Simplify right side
    5,829.78x = 26,917,134.68
  5. Step 5: Solve for x
    x = 26,917,134.68/5,829.78
  6. Step 6: Final answer
    x = 4,617.18

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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.