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Finding the Fourth Proportional to 6,580.08, 9,852.30 and 3,802.68

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Solution

The fourth proportional to 6,580.08, 9,852.30 and 3,802.68 is: 5,693.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.08 : 9,852.30 = 3,802.68 : x
  2. Step 2: Convert to fraction form
    6,580.08/9,852.30 = 3,802.68/x
  3. Step 3: Cross multiply
    6,580.08x = 9,852.30 × 3,802.68
  4. Step 4: Simplify right side
    6,580.08x = 37,465,144.16
  5. Step 5: Solve for x
    x = 37,465,144.16/6,580.08
  6. Step 6: Final answer
    x = 5,693.72

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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.