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Finding the Fourth Proportional to 4,497.59, 6,206.82 and 2,508.57

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Solution

The fourth proportional to 4,497.59, 6,206.82 and 2,508.57 is: 3,461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.59 : 6,206.82 = 2,508.57 : x
  2. Step 2: Convert to fraction form
    4,497.59/6,206.82 = 2,508.57/x
  3. Step 3: Cross multiply
    4,497.59x = 6,206.82 × 2,508.57
  4. Step 4: Simplify right side
    4,497.59x = 15,570,242.45
  5. Step 5: Solve for x
    x = 15,570,242.45/4,497.59
  6. Step 6: Final answer
    x = 3,461.91

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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.