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Finding the Fourth Proportional to 5,878.51, 8,816.75 and 1,662.06

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Solution

The fourth proportional to 5,878.51, 8,816.75 and 1,662.06 is: 2,492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.51 : 8,816.75 = 1,662.06 : x
  2. Step 2: Convert to fraction form
    5,878.51/8,816.75 = 1,662.06/x
  3. Step 3: Cross multiply
    5,878.51x = 8,816.75 × 1,662.06
  4. Step 4: Simplify right side
    5,878.51x = 14,653,923.42
  5. Step 5: Solve for x
    x = 14,653,923.42/5,878.51
  6. Step 6: Final answer
    x = 2,492.80

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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.