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Finding the Fourth Proportional to 5,563.04, 7,685 and 4,442.51

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Solution

The fourth proportional to 5,563.04, 7,685 and 4,442.51 is: 6,137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.04 : 7,685 = 4,442.51 : x
  2. Step 2: Convert to fraction form
    5,563.04/7,685 = 4,442.51/x
  3. Step 3: Cross multiply
    5,563.04x = 7,685 × 4,442.51
  4. Step 4: Simplify right side
    5,563.04x = 34,140,689.35
  5. Step 5: Solve for x
    x = 34,140,689.35/5,563.04
  6. Step 6: Final answer
    x = 6,137.06

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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.