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Finding the Fourth Proportional to 5,323.98, 7,347.64 and 3,200.20

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Solution

The fourth proportional to 5,323.98, 7,347.64 and 3,200.20 is: 4,416.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.98 : 7,347.64 = 3,200.20 : x
  2. Step 2: Convert to fraction form
    5,323.98/7,347.64 = 3,200.20/x
  3. Step 3: Cross multiply
    5,323.98x = 7,347.64 × 3,200.20
  4. Step 4: Simplify right side
    5,323.98x = 23,513,877.83
  5. Step 5: Solve for x
    x = 23,513,877.83/5,323.98
  6. Step 6: Final answer
    x = 4,416.60

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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.