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Finding the Fourth Proportional to 4,668.08, 7,005 and 1,748.48

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Solution

The fourth proportional to 4,668.08, 7,005 and 1,748.48 is: 2,623.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.08 : 7,005 = 1,748.48 : x
  2. Step 2: Convert to fraction form
    4,668.08/7,005 = 1,748.48/x
  3. Step 3: Cross multiply
    4,668.08x = 7,005 × 1,748.48
  4. Step 4: Simplify right side
    4,668.08x = 12,248,102.40
  5. Step 5: Solve for x
    x = 12,248,102.40/4,668.08
  6. Step 6: Final answer
    x = 2,623.80

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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.