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Finding the Fourth Proportional to 5,195.19, 7,780.59 and 4,507.50

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Solution

The fourth proportional to 5,195.19, 7,780.59 and 4,507.50 is: 6,750.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.19 : 7,780.59 = 4,507.50 : x
  2. Step 2: Convert to fraction form
    5,195.19/7,780.59 = 4,507.50/x
  3. Step 3: Cross multiply
    5,195.19x = 7,780.59 × 4,507.50
  4. Step 4: Simplify right side
    5,195.19x = 35,071,009.43
  5. Step 5: Solve for x
    x = 35,071,009.43/5,195.19
  6. Step 6: Final answer
    x = 6,750.67

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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.