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Finding the Fourth Proportional to 5,830.81, 8,746.16 and 3,491.48

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Solution

The fourth proportional to 5,830.81, 8,746.16 and 3,491.48 is: 5,237.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.81 : 8,746.16 = 3,491.48 : x
  2. Step 2: Convert to fraction form
    5,830.81/8,746.16 = 3,491.48/x
  3. Step 3: Cross multiply
    5,830.81x = 8,746.16 × 3,491.48
  4. Step 4: Simplify right side
    5,830.81x = 30,537,047.12
  5. Step 5: Solve for x
    x = 30,537,047.12/5,830.81
  6. Step 6: Final answer
    x = 5,237.19

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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.