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Finding the Fourth Proportional to 5,946.09, 8,918.64 and 1,563.42

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Solution

The fourth proportional to 5,946.09, 8,918.64 and 1,563.42 is: 2,345.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.09 : 8,918.64 = 1,563.42 : x
  2. Step 2: Convert to fraction form
    5,946.09/8,918.64 = 1,563.42/x
  3. Step 3: Cross multiply
    5,946.09x = 8,918.64 × 1,563.42
  4. Step 4: Simplify right side
    5,946.09x = 13,943,580.15
  5. Step 5: Solve for x
    x = 13,943,580.15/5,946.09
  6. Step 6: Final answer
    x = 2,345.00

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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.