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Finding the Fourth Proportional to 3,870.69, 5,345.59 and 3,200.92

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Solution

The fourth proportional to 3,870.69, 5,345.59 and 3,200.92 is: 4,420.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.69 : 5,345.59 = 3,200.92 : x
  2. Step 2: Convert to fraction form
    3,870.69/5,345.59 = 3,200.92/x
  3. Step 3: Cross multiply
    3,870.69x = 5,345.59 × 3,200.92
  4. Step 4: Simplify right side
    3,870.69x = 17,110,779.21
  5. Step 5: Solve for x
    x = 17,110,779.21/3,870.69
  6. Step 6: Final answer
    x = 4,420.61

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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.