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Finding the Fourth Proportional to 4,142.04, 6,214.14 and 1,545

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Solution

The fourth proportional to 4,142.04, 6,214.14 and 1,545 is: 2,317.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.04 : 6,214.14 = 1,545 : x
  2. Step 2: Convert to fraction form
    4,142.04/6,214.14 = 1,545/x
  3. Step 3: Cross multiply
    4,142.04x = 6,214.14 × 1,545
  4. Step 4: Simplify right side
    4,142.04x = 9,600,846.30
  5. Step 5: Solve for x
    x = 9,600,846.30/4,142.04
  6. Step 6: Final answer
    x = 2,317.90

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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.