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Finding the Fourth Proportional to 4,338.45, 6,507.95 and 1,416.78

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Solution

The fourth proportional to 4,338.45, 6,507.95 and 1,416.78 is: 2,125.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.45 : 6,507.95 = 1,416.78 : x
  2. Step 2: Convert to fraction form
    4,338.45/6,507.95 = 1,416.78/x
  3. Step 3: Cross multiply
    4,338.45x = 6,507.95 × 1,416.78
  4. Step 4: Simplify right side
    4,338.45x = 9,220,326.32
  5. Step 5: Solve for x
    x = 9,220,326.32/4,338.45
  6. Step 6: Final answer
    x = 2,125.26

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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.