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Finding the Fourth Proportional to 4,847.65, 6,700.42 and 3,530.59

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Solution

The fourth proportional to 4,847.65, 6,700.42 and 3,530.59 is: 4,879.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.65 : 6,700.42 = 3,530.59 : x
  2. Step 2: Convert to fraction form
    4,847.65/6,700.42 = 3,530.59/x
  3. Step 3: Cross multiply
    4,847.65x = 6,700.42 × 3,530.59
  4. Step 4: Simplify right side
    4,847.65x = 23,656,423.51
  5. Step 5: Solve for x
    x = 23,656,423.51/4,847.65
  6. Step 6: Final answer
    x = 4,879.98

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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.