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Finding the Fourth Proportional to 4,497.04, 6,206 and 2,507.76

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Solution

The fourth proportional to 4,497.04, 6,206 and 2,507.76 is: 3,460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.04 : 6,206 = 2,507.76 : x
  2. Step 2: Convert to fraction form
    4,497.04/6,206 = 2,507.76/x
  3. Step 3: Cross multiply
    4,497.04x = 6,206 × 2,507.76
  4. Step 4: Simplify right side
    4,497.04x = 15,563,158.56
  5. Step 5: Solve for x
    x = 15,563,158.56/4,497.04
  6. Step 6: Final answer
    x = 3,460.76

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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.