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Finding the Fourth Proportional to 4,670.83, 7,006 and 1,748.91

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Solution

The fourth proportional to 4,670.83, 7,006 and 1,748.91 is: 2,623.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.83 : 7,006 = 1,748.91 : x
  2. Step 2: Convert to fraction form
    4,670.83/7,006 = 1,748.91/x
  3. Step 3: Cross multiply
    4,670.83x = 7,006 × 1,748.91
  4. Step 4: Simplify right side
    4,670.83x = 12,252,863.46
  5. Step 5: Solve for x
    x = 12,252,863.46/4,670.83
  6. Step 6: Final answer
    x = 2,623.27

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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.