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Finding the Fourth Proportional to 4,498.95, 6,208.80 and 2,509.50

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Solution

The fourth proportional to 4,498.95, 6,208.80 and 2,509.50 is: 3,463.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.95 : 6,208.80 = 2,509.50 : x
  2. Step 2: Convert to fraction form
    4,498.95/6,208.80 = 2,509.50/x
  3. Step 3: Cross multiply
    4,498.95x = 6,208.80 × 2,509.50
  4. Step 4: Simplify right side
    4,498.95x = 15,580,983.60
  5. Step 5: Solve for x
    x = 15,580,983.60/4,498.95
  6. Step 6: Final answer
    x = 3,463.25

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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.