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Finding the Fourth Proportional to 5,308.50, 7,970.97 and 2,848.13

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Solution

The fourth proportional to 5,308.50, 7,970.97 and 2,848.13 is: 4,276.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.50 : 7,970.97 = 2,848.13 : x
  2. Step 2: Convert to fraction form
    5,308.50/7,970.97 = 2,848.13/x
  3. Step 3: Cross multiply
    5,308.50x = 7,970.97 × 2,848.13
  4. Step 4: Simplify right side
    5,308.50x = 22,702,318.93
  5. Step 5: Solve for x
    x = 22,702,318.93/5,308.50
  6. Step 6: Final answer
    x = 4,276.60

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1.5x scale

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.