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Finding the Fourth Proportional to 5,666.35, 8,484.94 and 3,712.63

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Solution

The fourth proportional to 5,666.35, 8,484.94 and 3,712.63 is: 5,559.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.35 : 8,484.94 = 3,712.63 : x
  2. Step 2: Convert to fraction form
    5,666.35/8,484.94 = 3,712.63/x
  3. Step 3: Cross multiply
    5,666.35x = 8,484.94 × 3,712.63
  4. Step 4: Simplify right side
    5,666.35x = 31,501,442.79
  5. Step 5: Solve for x
    x = 31,501,442.79/5,666.35
  6. Step 6: Final answer
    x = 5,559.39

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