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Finding the Fourth Proportional to 5,486.85, 7,569.88 and 3,127.63

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Solution

The fourth proportional to 5,486.85, 7,569.88 and 3,127.63 is: 4,315.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.85 : 7,569.88 = 3,127.63 : x
  2. Step 2: Convert to fraction form
    5,486.85/7,569.88 = 3,127.63/x
  3. Step 3: Cross multiply
    5,486.85x = 7,569.88 × 3,127.63
  4. Step 4: Simplify right side
    5,486.85x = 23,675,783.78
  5. Step 5: Solve for x
    x = 23,675,783.78/5,486.85
  6. Step 6: Final answer
    x = 4,315.00

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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.