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Finding the Fourth Proportional to 3,365.65, 4,643.31 and 2,106.19

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Solution

The fourth proportional to 3,365.65, 4,643.31 and 2,106.19 is: 2,905.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.65 : 4,643.31 = 2,106.19 : x
  2. Step 2: Convert to fraction form
    3,365.65/4,643.31 = 2,106.19/x
  3. Step 3: Cross multiply
    3,365.65x = 4,643.31 × 2,106.19
  4. Step 4: Simplify right side
    3,365.65x = 9,779,693.09
  5. Step 5: Solve for x
    x = 9,779,693.09/3,365.65
  6. Step 6: Final answer
    x = 2,905.74

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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.