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Finding the Fourth Proportional to 5,746.08, 8,617.68 and 2,458.08

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Solution

The fourth proportional to 5,746.08, 8,617.68 and 2,458.08 is: 3,686.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.08 : 8,617.68 = 2,458.08 : x
  2. Step 2: Convert to fraction form
    5,746.08/8,617.68 = 2,458.08/x
  3. Step 3: Cross multiply
    5,746.08x = 8,617.68 × 2,458.08
  4. Step 4: Simplify right side
    5,746.08x = 21,182,946.85
  5. Step 5: Solve for x
    x = 21,182,946.85/5,746.08
  6. Step 6: Final answer
    x = 3,686.50

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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.