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Finding the Fourth Proportional to 4,496.78, 6,205.56 and 2,507.30

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Solution

The fourth proportional to 4,496.78, 6,205.56 and 2,507.30 is: 3,460.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.78 : 6,205.56 = 2,507.30 : x
  2. Step 2: Convert to fraction form
    4,496.78/6,205.56 = 2,507.30/x
  3. Step 3: Cross multiply
    4,496.78x = 6,205.56 × 2,507.30
  4. Step 4: Simplify right side
    4,496.78x = 15,559,200.59
  5. Step 5: Solve for x
    x = 15,559,200.59/4,496.78
  6. Step 6: Final answer
    x = 3,460.08

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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.