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Finding the Fourth Proportional to 5,364.47, 8,047.07 and 1,854.82

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Solution

The fourth proportional to 5,364.47, 8,047.07 and 1,854.82 is: 2,782.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.47 : 8,047.07 = 1,854.82 : x
  2. Step 2: Convert to fraction form
    5,364.47/8,047.07 = 1,854.82/x
  3. Step 3: Cross multiply
    5,364.47x = 8,047.07 × 1,854.82
  4. Step 4: Simplify right side
    5,364.47x = 14,925,874.12
  5. Step 5: Solve for x
    x = 14,925,874.12/5,364.47
  6. Step 6: Final answer
    x = 2,782.36

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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.