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Finding the Fourth Proportional to 5,901.84, 8,118.36 and 5,662.08

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Solution

The fourth proportional to 5,901.84, 8,118.36 and 5,662.08 is: 7,788.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.84 : 8,118.36 = 5,662.08 : x
  2. Step 2: Convert to fraction form
    5,901.84/8,118.36 = 5,662.08/x
  3. Step 3: Cross multiply
    5,901.84x = 8,118.36 × 5,662.08
  4. Step 4: Simplify right side
    5,901.84x = 45,966,803.79
  5. Step 5: Solve for x
    x = 45,966,803.79/5,901.84
  6. Step 6: Final answer
    x = 7,788.55

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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.