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Finding the Fourth Proportional to 5,166.80, 7,129.64 and 3,070.64

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Solution

The fourth proportional to 5,166.80, 7,129.64 and 3,070.64 is: 4,237.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.80 : 7,129.64 = 3,070.64 : x
  2. Step 2: Convert to fraction form
    5,166.80/7,129.64 = 3,070.64/x
  3. Step 3: Cross multiply
    5,166.80x = 7,129.64 × 3,070.64
  4. Step 4: Simplify right side
    5,166.80x = 21,892,557.77
  5. Step 5: Solve for x
    x = 21,892,557.77/5,166.80
  6. Step 6: Final answer
    x = 4,237.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.