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Finding the Fourth Proportional to 5,164.61, 7,746.90 and 1,466.87

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Solution

The fourth proportional to 5,164.61, 7,746.90 and 1,466.87 is: 2,200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.61 : 7,746.90 = 1,466.87 : x
  2. Step 2: Convert to fraction form
    5,164.61/7,746.90 = 1,466.87/x
  3. Step 3: Cross multiply
    5,164.61x = 7,746.90 × 1,466.87
  4. Step 4: Simplify right side
    5,164.61x = 11,363,695.20
  5. Step 5: Solve for x
    x = 11,363,695.20/5,164.61
  6. Step 6: Final answer
    x = 2,200.30

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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.