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Finding the Fourth Proportional to 4,033.52, 6,048.64 and 1,259.26

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Solution

The fourth proportional to 4,033.52, 6,048.64 and 1,259.26 is: 1,888.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,033.52 : 6,048.64 = 1,259.26 : x
  2. Step 2: Convert to fraction form
    4,033.52/6,048.64 = 1,259.26/x
  3. Step 3: Cross multiply
    4,033.52x = 6,048.64 × 1,259.26
  4. Step 4: Simplify right side
    4,033.52x = 7,616,810.41
  5. Step 5: Solve for x
    x = 7,616,810.41/4,033.52
  6. Step 6: Final answer
    x = 1,888.38

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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.