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Finding the Fourth Proportional to 4,341.66, 6,513.66 and 1,567.50

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Solution

The fourth proportional to 4,341.66, 6,513.66 and 1,567.50 is: 2,351.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,341.66 : 6,513.66 = 1,567.50 : x
  2. Step 2: Convert to fraction form
    4,341.66/6,513.66 = 1,567.50/x
  3. Step 3: Cross multiply
    4,341.66x = 6,513.66 × 1,567.50
  4. Step 4: Simplify right side
    4,341.66x = 10,210,162.05
  5. Step 5: Solve for x
    x = 10,210,162.05/4,341.66
  6. Step 6: Final answer
    x = 2,351.67

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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.