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Finding the Fourth Proportional to 4,335.05, 6,502.58 and 1,737.38

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Solution

The fourth proportional to 4,335.05, 6,502.58 and 1,737.38 is: 2,606.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.05 : 6,502.58 = 1,737.38 : x
  2. Step 2: Convert to fraction form
    4,335.05/6,502.58 = 1,737.38/x
  3. Step 3: Cross multiply
    4,335.05x = 6,502.58 × 1,737.38
  4. Step 4: Simplify right side
    4,335.05x = 11,297,411.24
  5. Step 5: Solve for x
    x = 11,297,411.24/4,335.05
  6. Step 6: Final answer
    x = 2,606.07

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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.