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Finding the Fourth Proportional to 4,497.59, 6,206.44 and 2,507.77

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Solution

The fourth proportional to 4,497.59, 6,206.44 and 2,507.77 is: 3,460.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.59 : 6,206.44 = 2,507.77 : x
  2. Step 2: Convert to fraction form
    4,497.59/6,206.44 = 2,507.77/x
  3. Step 3: Cross multiply
    4,497.59x = 6,206.44 × 2,507.77
  4. Step 4: Simplify right side
    4,497.59x = 15,564,324.04
  5. Step 5: Solve for x
    x = 15,564,324.04/4,497.59
  6. Step 6: Final answer
    x = 3,460.59

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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.