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Finding the Fourth Proportional to 6,678.72, 9,210.96 and 4,582.80

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Solution

The fourth proportional to 6,678.72, 9,210.96 and 4,582.80 is: 6,320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.72 : 9,210.96 = 4,582.80 : x
  2. Step 2: Convert to fraction form
    6,678.72/9,210.96 = 4,582.80/x
  3. Step 3: Cross multiply
    6,678.72x = 9,210.96 × 4,582.80
  4. Step 4: Simplify right side
    6,678.72x = 42,211,987.49
  5. Step 5: Solve for x
    x = 42,211,987.49/6,678.72
  6. Step 6: Final answer
    x = 6,320.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.