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Finding the Fourth Proportional to 3,417.30, 5,125.95 and 3,125.70

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Solution

The fourth proportional to 3,417.30, 5,125.95 and 3,125.70 is: 4,688.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.30 : 5,125.95 = 3,125.70 : x
  2. Step 2: Convert to fraction form
    3,417.30/5,125.95 = 3,125.70/x
  3. Step 3: Cross multiply
    3,417.30x = 5,125.95 × 3,125.70
  4. Step 4: Simplify right side
    3,417.30x = 16,022,181.92
  5. Step 5: Solve for x
    x = 16,022,181.92/3,417.30
  6. Step 6: Final answer
    x = 4,688.55

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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.