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Finding the Fourth Proportional to 5,904.65, 8,148.17 and 3,385.01

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Solution

The fourth proportional to 5,904.65, 8,148.17 and 3,385.01 is: 4,671.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,904.65 : 8,148.17 = 3,385.01 : x
  2. Step 2: Convert to fraction form
    5,904.65/8,148.17 = 3,385.01/x
  3. Step 3: Cross multiply
    5,904.65x = 8,148.17 × 3,385.01
  4. Step 4: Simplify right side
    5,904.65x = 27,581,579.27
  5. Step 5: Solve for x
    x = 27,581,579.27/5,904.65
  6. Step 6: Final answer
    x = 4,671.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.