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Finding the Fourth Proportional to 5,477.60, 8,216.40 and 4,165.40

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Solution

The fourth proportional to 5,477.60, 8,216.40 and 4,165.40 is: 6,248.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.60 : 8,216.40 = 4,165.40 : x
  2. Step 2: Convert to fraction form
    5,477.60/8,216.40 = 4,165.40/x
  3. Step 3: Cross multiply
    5,477.60x = 8,216.40 × 4,165.40
  4. Step 4: Simplify right side
    5,477.60x = 34,224,592.56
  5. Step 5: Solve for x
    x = 34,224,592.56/5,477.60
  6. Step 6: Final answer
    x = 6,248.10

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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.