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Finding the Fourth Proportional to 6,281.16, 8,668.74 and 3,486.84

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Solution

The fourth proportional to 6,281.16, 8,668.74 and 3,486.84 is: 4,812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.16 : 8,668.74 = 3,486.84 : x
  2. Step 2: Convert to fraction form
    6,281.16/8,668.74 = 3,486.84/x
  3. Step 3: Cross multiply
    6,281.16x = 8,668.74 × 3,486.84
  4. Step 4: Simplify right side
    6,281.16x = 30,226,509.38
  5. Step 5: Solve for x
    x = 30,226,509.38/6,281.16
  6. Step 6: Final answer
    x = 4,812.25

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Why These Related Problems?

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