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Finding the Fourth Proportional to 4,496.32, 6,204.48 and 2,506.80

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Solution

The fourth proportional to 4,496.32, 6,204.48 and 2,506.80 is: 3,459.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.32 : 6,204.48 = 2,506.80 : x
  2. Step 2: Convert to fraction form
    4,496.32/6,204.48 = 2,506.80/x
  3. Step 3: Cross multiply
    4,496.32x = 6,204.48 × 2,506.80
  4. Step 4: Simplify right side
    4,496.32x = 15,553,390.46
  5. Step 5: Solve for x
    x = 15,553,390.46/4,496.32
  6. Step 6: Final answer
    x = 3,459.14

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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.