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Finding the Fourth Proportional to 3,420.16, 5,128.19 and 1,337.68

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Solution

The fourth proportional to 3,420.16, 5,128.19 and 1,337.68 is: 2,005.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.16 : 5,128.19 = 1,337.68 : x
  2. Step 2: Convert to fraction form
    3,420.16/5,128.19 = 1,337.68/x
  3. Step 3: Cross multiply
    3,420.16x = 5,128.19 × 1,337.68
  4. Step 4: Simplify right side
    3,420.16x = 6,859,870.51
  5. Step 5: Solve for x
    x = 6,859,870.51/3,420.16
  6. Step 6: Final answer
    x = 2,005.72

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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.