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Finding the Fourth Proportional to 6,501.51, 9,752.45 and 2,059.20

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Solution

The fourth proportional to 6,501.51, 9,752.45 and 2,059.20 is: 3,088.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.51 : 9,752.45 = 2,059.20 : x
  2. Step 2: Convert to fraction form
    6,501.51/9,752.45 = 2,059.20/x
  3. Step 3: Cross multiply
    6,501.51x = 9,752.45 × 2,059.20
  4. Step 4: Simplify right side
    6,501.51x = 20,082,234.74
  5. Step 5: Solve for x
    x = 20,082,234.74/6,501.51
  6. Step 6: Final answer
    x = 3,088.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.