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Finding the Fourth Proportional to 4,670.02, 7,005.30 and 1,748.08

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Solution

The fourth proportional to 4,670.02, 7,005.30 and 1,748.08 is: 2,622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.02 : 7,005.30 = 1,748.08 : x
  2. Step 2: Convert to fraction form
    4,670.02/7,005.30 = 1,748.08/x
  3. Step 3: Cross multiply
    4,670.02x = 7,005.30 × 1,748.08
  4. Step 4: Simplify right side
    4,670.02x = 12,245,824.82
  5. Step 5: Solve for x
    x = 12,245,824.82/4,670.02
  6. Step 6: Final answer
    x = 2,622.22

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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.