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Finding the Fourth Proportional to 4,343.58, 6,513.90 and 1,421.16

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Solution

The fourth proportional to 4,343.58, 6,513.90 and 1,421.16 is: 2,131.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343.58 : 6,513.90 = 1,421.16 : x
  2. Step 2: Convert to fraction form
    4,343.58/6,513.90 = 1,421.16/x
  3. Step 3: Cross multiply
    4,343.58x = 6,513.90 × 1,421.16
  4. Step 4: Simplify right side
    4,343.58x = 9,257,294.12
  5. Step 5: Solve for x
    x = 9,257,294.12/4,343.58
  6. Step 6: Final answer
    x = 2,131.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.