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Finding the Fourth Proportional to 4,277.76, 6,419.04 and 2,330.10

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Solution

The fourth proportional to 4,277.76, 6,419.04 and 2,330.10 is: 3,496.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.76 : 6,419.04 = 2,330.10 : x
  2. Step 2: Convert to fraction form
    4,277.76/6,419.04 = 2,330.10/x
  3. Step 3: Cross multiply
    4,277.76x = 6,419.04 × 2,330.10
  4. Step 4: Simplify right side
    4,277.76x = 14,957,005.10
  5. Step 5: Solve for x
    x = 14,957,005.10/4,277.76
  6. Step 6: Final answer
    x = 3,496.46

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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.