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Finding the Fourth Proportional to 5,830.60, 8,746.17 and 1,671.22

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Solution

The fourth proportional to 5,830.60, 8,746.17 and 1,671.22 is: 2,506.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.60 : 8,746.17 = 1,671.22 : x
  2. Step 2: Convert to fraction form
    5,830.60/8,746.17 = 1,671.22/x
  3. Step 3: Cross multiply
    5,830.60x = 8,746.17 × 1,671.22
  4. Step 4: Simplify right side
    5,830.60x = 14,616,774.23
  5. Step 5: Solve for x
    x = 14,616,774.23/5,830.60
  6. Step 6: Final answer
    x = 2,506.91

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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.