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Finding the Fourth Proportional to 4,106.65, 5,666.72 and 2,314.21

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Solution

The fourth proportional to 4,106.65, 5,666.72 and 2,314.21 is: 3,193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.65 : 5,666.72 = 2,314.21 : x
  2. Step 2: Convert to fraction form
    4,106.65/5,666.72 = 2,314.21/x
  3. Step 3: Cross multiply
    4,106.65x = 5,666.72 × 2,314.21
  4. Step 4: Simplify right side
    4,106.65x = 13,113,954.35
  5. Step 5: Solve for x
    x = 13,113,954.35/4,106.65
  6. Step 6: Final answer
    x = 3,193.35

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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.