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Finding the Fourth Proportional to 4,487.85, 6,746.36 and 4,465.98

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Solution

The fourth proportional to 4,487.85, 6,746.36 and 4,465.98 is: 6,713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,487.85 : 6,746.36 = 4,465.98 : x
  2. Step 2: Convert to fraction form
    4,487.85/6,746.36 = 4,465.98/x
  3. Step 3: Cross multiply
    4,487.85x = 6,746.36 × 4,465.98
  4. Step 4: Simplify right side
    4,487.85x = 30,129,086.50
  5. Step 5: Solve for x
    x = 30,129,086.50/4,487.85
  6. Step 6: Final answer
    x = 6,713.48

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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.