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Finding the Fourth Proportional to 5,636.16, 8,416.80 and 5,575.14

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Solution

The fourth proportional to 5,636.16, 8,416.80 and 5,575.14 is: 8,325.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.16 : 8,416.80 = 5,575.14 : x
  2. Step 2: Convert to fraction form
    5,636.16/8,416.80 = 5,575.14/x
  3. Step 3: Cross multiply
    5,636.16x = 8,416.80 × 5,575.14
  4. Step 4: Simplify right side
    5,636.16x = 46,924,838.35
  5. Step 5: Solve for x
    x = 46,924,838.35/5,636.16
  6. Step 6: Final answer
    x = 8,325.68

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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.