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Finding the Fourth Proportional to 6,526.40, 9,790.88 and 2,828

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Solution

The fourth proportional to 6,526.40, 9,790.88 and 2,828 is: 4,242.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.40 : 9,790.88 = 2,828 : x
  2. Step 2: Convert to fraction form
    6,526.40/9,790.88 = 2,828/x
  3. Step 3: Cross multiply
    6,526.40x = 9,790.88 × 2,828
  4. Step 4: Simplify right side
    6,526.40x = 27,688,608.64
  5. Step 5: Solve for x
    x = 27,688,608.64/6,526.40
  6. Step 6: Final answer
    x = 4,242.55

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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.