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Finding the Fourth Proportional to 5,295, 7,307.34 and 2,937.06

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Solution

The fourth proportional to 5,295, 7,307.34 and 2,937.06 is: 4,053.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295 : 7,307.34 = 2,937.06 : x
  2. Step 2: Convert to fraction form
    5,295/7,307.34 = 2,937.06/x
  3. Step 3: Cross multiply
    5,295x = 7,307.34 × 2,937.06
  4. Step 4: Simplify right side
    5,295x = 21,462,096.02
  5. Step 5: Solve for x
    x = 21,462,096.02/5,295
  6. Step 6: Final answer
    x = 4,053.28

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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.