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Finding the Fourth Proportional to 3,668.58, 5,503.84 and 1,588.10

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Solution

The fourth proportional to 3,668.58, 5,503.84 and 1,588.10 is: 2,382.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.58 : 5,503.84 = 1,588.10 : x
  2. Step 2: Convert to fraction form
    3,668.58/5,503.84 = 1,588.10/x
  3. Step 3: Cross multiply
    3,668.58x = 5,503.84 × 1,588.10
  4. Step 4: Simplify right side
    3,668.58x = 8,740,641.67
  5. Step 5: Solve for x
    x = 8,740,641.67/3,668.58
  6. Step 6: Final answer
    x = 2,382.57

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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.