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Finding the Fourth Proportional to 4,710.65, 6,498.24 and 3,197.68

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Solution

The fourth proportional to 4,710.65, 6,498.24 and 3,197.68 is: 4,411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.65 : 6,498.24 = 3,197.68 : x
  2. Step 2: Convert to fraction form
    4,710.65/6,498.24 = 3,197.68/x
  3. Step 3: Cross multiply
    4,710.65x = 6,498.24 × 3,197.68
  4. Step 4: Simplify right side
    4,710.65x = 20,779,263.85
  5. Step 5: Solve for x
    x = 20,779,263.85/4,710.65
  6. Step 6: Final answer
    x = 4,411.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.