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Finding the Fourth Proportional to 4,496.95, 6,206.04 and 2,507.50

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Solution

The fourth proportional to 4,496.95, 6,206.04 and 2,507.50 is: 3,460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.95 : 6,206.04 = 2,507.50 : x
  2. Step 2: Convert to fraction form
    4,496.95/6,206.04 = 2,507.50/x
  3. Step 3: Cross multiply
    4,496.95x = 6,206.04 × 2,507.50
  4. Step 4: Simplify right side
    4,496.95x = 15,561,632.76
  5. Step 5: Solve for x
    x = 15,561,632.76/4,496.95
  6. Step 6: Final answer
    x = 3,460.49

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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.