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Finding the Fourth Proportional to 5,802.41, 8,702.64 and 1,641.47

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Solution

The fourth proportional to 5,802.41, 8,702.64 and 1,641.47 is: 2,461.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.41 : 8,702.64 = 1,641.47 : x
  2. Step 2: Convert to fraction form
    5,802.41/8,702.64 = 1,641.47/x
  3. Step 3: Cross multiply
    5,802.41x = 8,702.64 × 1,641.47
  4. Step 4: Simplify right side
    5,802.41x = 14,285,078.97
  5. Step 5: Solve for x
    x = 14,285,078.97/5,802.41
  6. Step 6: Final answer
    x = 2,461.92

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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.