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Finding the Fourth Proportional to 4,508.65, 6,762.90 and 1,735.93

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Solution

The fourth proportional to 4,508.65, 6,762.90 and 1,735.93 is: 2,603.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,508.65 : 6,762.90 = 1,735.93 : x
  2. Step 2: Convert to fraction form
    4,508.65/6,762.90 = 1,735.93/x
  3. Step 3: Cross multiply
    4,508.65x = 6,762.90 × 1,735.93
  4. Step 4: Simplify right side
    4,508.65x = 11,739,887.18
  5. Step 5: Solve for x
    x = 11,739,887.18/4,508.65
  6. Step 6: Final answer
    x = 2,603.86

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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.