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Finding the Fourth Proportional to 5,775.59, 7,972.36 and 3,417.72

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Solution

The fourth proportional to 5,775.59, 7,972.36 and 3,417.72 is: 4,717.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.59 : 7,972.36 = 3,417.72 : x
  2. Step 2: Convert to fraction form
    5,775.59/7,972.36 = 3,417.72/x
  3. Step 3: Cross multiply
    5,775.59x = 7,972.36 × 3,417.72
  4. Step 4: Simplify right side
    5,775.59x = 27,247,277.13
  5. Step 5: Solve for x
    x = 27,247,277.13/5,775.59
  6. Step 6: Final answer
    x = 4,717.67

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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.