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Finding the Fourth Proportional to 13,038.08, 19,558.08 and 3,804

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Solution

The fourth proportional to 13,038.08, 19,558.08 and 3,804 is: 5,706.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.08 : 19,558.08 = 3,804 : x
  2. Step 2: Convert to fraction form
    13,038.08/19,558.08 = 3,804/x
  3. Step 3: Cross multiply
    13,038.08x = 19,558.08 × 3,804
  4. Step 4: Simplify right side
    13,038.08x = 74,398,936.32
  5. Step 5: Solve for x
    x = 74,398,936.32/13,038.08
  6. Step 6: Final answer
    x = 5,706.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.