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Finding the Fourth Proportional to 4,580.69, 6,830.19 and 4,221.65

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Solution

The fourth proportional to 4,580.69, 6,830.19 and 4,221.65 is: 6,294.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,580.69 : 6,830.19 = 4,221.65 : x
  2. Step 2: Convert to fraction form
    4,580.69/6,830.19 = 4,221.65/x
  3. Step 3: Cross multiply
    4,580.69x = 6,830.19 × 4,221.65
  4. Step 4: Simplify right side
    4,580.69x = 28,834,688.69
  5. Step 5: Solve for x
    x = 28,834,688.69/4,580.69
  6. Step 6: Final answer
    x = 6,294.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.