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Finding the Fourth Proportional to 5,802.48, 8,703.72 and 4,078.80

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Solution

The fourth proportional to 5,802.48, 8,703.72 and 4,078.80 is: 6,118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.48 : 8,703.72 = 4,078.80 : x
  2. Step 2: Convert to fraction form
    5,802.48/8,703.72 = 4,078.80/x
  3. Step 3: Cross multiply
    5,802.48x = 8,703.72 × 4,078.80
  4. Step 4: Simplify right side
    5,802.48x = 35,500,733.14
  5. Step 5: Solve for x
    x = 35,500,733.14/5,802.48
  6. Step 6: Final answer
    x = 6,118.20

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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.