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Finding the Fourth Proportional to 4,536.50, 6,798.65 and 2,070.05

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Solution

The fourth proportional to 4,536.50, 6,798.65 and 2,070.05 is: 3,102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.50 : 6,798.65 = 2,070.05 : x
  2. Step 2: Convert to fraction form
    4,536.50/6,798.65 = 2,070.05/x
  3. Step 3: Cross multiply
    4,536.50x = 6,798.65 × 2,070.05
  4. Step 4: Simplify right side
    4,536.50x = 14,073,501.09
  5. Step 5: Solve for x
    x = 14,073,501.09/4,536.50
  6. Step 6: Final answer
    x = 3,102.29

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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.