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Finding the Fourth Proportional to 5,302.01, 7,940.70 and 5,117.48

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Solution

The fourth proportional to 5,302.01, 7,940.70 and 5,117.48 is: 7,664.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.01 : 7,940.70 = 5,117.48 : x
  2. Step 2: Convert to fraction form
    5,302.01/7,940.70 = 5,117.48/x
  3. Step 3: Cross multiply
    5,302.01x = 7,940.70 × 5,117.48
  4. Step 4: Simplify right side
    5,302.01x = 40,636,393.29
  5. Step 5: Solve for x
    x = 40,636,393.29/5,302.01
  6. Step 6: Final answer
    x = 7,664.34

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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.