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Finding the Fourth Proportional to 5,775.34, 7,972.01 and 3,417.47

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Solution

The fourth proportional to 5,775.34, 7,972.01 and 3,417.47 is: 4,717.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.34 : 7,972.01 = 3,417.47 : x
  2. Step 2: Convert to fraction form
    5,775.34/7,972.01 = 3,417.47/x
  3. Step 3: Cross multiply
    5,775.34x = 7,972.01 × 3,417.47
  4. Step 4: Simplify right side
    5,775.34x = 27,244,133.49
  5. Step 5: Solve for x
    x = 27,244,133.49/5,775.34
  6. Step 6: Final answer
    x = 4,717.32

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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.