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Finding the Fourth Proportional to 4,339.98, 6,509.97 and 3,689.35

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Solution

The fourth proportional to 4,339.98, 6,509.97 and 3,689.35 is: 5,534.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,339.98 : 6,509.97 = 3,689.35 : x
  2. Step 2: Convert to fraction form
    4,339.98/6,509.97 = 3,689.35/x
  3. Step 3: Cross multiply
    4,339.98x = 6,509.97 × 3,689.35
  4. Step 4: Simplify right side
    4,339.98x = 24,017,541.54
  5. Step 5: Solve for x
    x = 24,017,541.54/4,339.98
  6. Step 6: Final answer
    x = 5,534.02

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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.