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Finding the Fourth Proportional to 5,076, 7,616.30 and 2,303.37

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Solution

The fourth proportional to 5,076, 7,616.30 and 2,303.37 is: 3,456.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076 : 7,616.30 = 2,303.37 : x
  2. Step 2: Convert to fraction form
    5,076/7,616.30 = 2,303.37/x
  3. Step 3: Cross multiply
    5,076x = 7,616.30 × 2,303.37
  4. Step 4: Simplify right side
    5,076x = 17,543,145.41
  5. Step 5: Solve for x
    x = 17,543,145.41/5,076
  6. Step 6: Final answer
    x = 3,456.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.