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Finding the Fourth Proportional to 4,338.04, 6,507.20 and 1,416.26

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Solution

The fourth proportional to 4,338.04, 6,507.20 and 1,416.26 is: 2,124.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.04 : 6,507.20 = 1,416.26 : x
  2. Step 2: Convert to fraction form
    4,338.04/6,507.20 = 1,416.26/x
  3. Step 3: Cross multiply
    4,338.04x = 6,507.20 × 1,416.26
  4. Step 4: Simplify right side
    4,338.04x = 9,215,887.07
  5. Step 5: Solve for x
    x = 9,215,887.07/4,338.04
  6. Step 6: Final answer
    x = 2,124.44

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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.