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Finding the Fourth Proportional to 5,661.66, 8,495.80 and 2,374.50

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Solution

The fourth proportional to 5,661.66, 8,495.80 and 2,374.50 is: 3,563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.66 : 8,495.80 = 2,374.50 : x
  2. Step 2: Convert to fraction form
    5,661.66/8,495.80 = 2,374.50/x
  3. Step 3: Cross multiply
    5,661.66x = 8,495.80 × 2,374.50
  4. Step 4: Simplify right side
    5,661.66x = 20,173,277.10
  5. Step 5: Solve for x
    x = 20,173,277.10/5,661.66
  6. Step 6: Final answer
    x = 3,563.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.