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Finding the Fourth Proportional to 5,830.38, 8,746.81 and 1,881.86

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Solution

The fourth proportional to 5,830.38, 8,746.81 and 1,881.86 is: 2,823.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.38 : 8,746.81 = 1,881.86 : x
  2. Step 2: Convert to fraction form
    5,830.38/8,746.81 = 1,881.86/x
  3. Step 3: Cross multiply
    5,830.38x = 8,746.81 × 1,881.86
  4. Step 4: Simplify right side
    5,830.38x = 16,460,228.13
  5. Step 5: Solve for x
    x = 16,460,228.13/5,830.38
  6. Step 6: Final answer
    x = 2,823.19

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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.