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Finding the Fourth Proportional to 5,762.66, 8,636.70 and 3,681.86

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Solution

The fourth proportional to 5,762.66, 8,636.70 and 3,681.86 is: 5,518.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.66 : 8,636.70 = 3,681.86 : x
  2. Step 2: Convert to fraction form
    5,762.66/8,636.70 = 3,681.86/x
  3. Step 3: Cross multiply
    5,762.66x = 8,636.70 × 3,681.86
  4. Step 4: Simplify right side
    5,762.66x = 31,799,120.26
  5. Step 5: Solve for x
    x = 31,799,120.26/5,762.66
  6. Step 6: Final answer
    x = 5,518.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.