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Finding the Fourth Proportional to 5,645.63, 7,790.95 and 3,127.74

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Solution

The fourth proportional to 5,645.63, 7,790.95 and 3,127.74 is: 4,316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.63 : 7,790.95 = 3,127.74 : x
  2. Step 2: Convert to fraction form
    5,645.63/7,790.95 = 3,127.74/x
  3. Step 3: Cross multiply
    5,645.63x = 7,790.95 × 3,127.74
  4. Step 4: Simplify right side
    5,645.63x = 24,368,058.13
  5. Step 5: Solve for x
    x = 24,368,058.13/5,645.63
  6. Step 6: Final answer
    x = 4,316.27

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