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Finding the Fourth Proportional to 3,417.24, 5,125.35 and 951.81

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Solution

The fourth proportional to 3,417.24, 5,125.35 and 951.81 is: 1,427.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.24 : 5,125.35 = 951.81 : x
  2. Step 2: Convert to fraction form
    3,417.24/5,125.35 = 951.81/x
  3. Step 3: Cross multiply
    3,417.24x = 5,125.35 × 951.81
  4. Step 4: Simplify right side
    3,417.24x = 4,878,359.38
  5. Step 5: Solve for x
    x = 4,878,359.38/3,417.24
  6. Step 6: Final answer
    x = 1,427.57

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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.