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Finding the Fourth Proportional to 4,588.80, 6,881.58 and 1,666.32

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Solution

The fourth proportional to 4,588.80, 6,881.58 and 1,666.32 is: 2,498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,588.80 : 6,881.58 = 1,666.32 : x
  2. Step 2: Convert to fraction form
    4,588.80/6,881.58 = 1,666.32/x
  3. Step 3: Cross multiply
    4,588.80x = 6,881.58 × 1,666.32
  4. Step 4: Simplify right side
    4,588.80x = 11,466,914.39
  5. Step 5: Solve for x
    x = 11,466,914.39/4,588.80
  6. Step 6: Final answer
    x = 2,498.89

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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.