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Finding the Fourth Proportional to 5,735.76, 8,603.64 and 1,631.76

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Solution

The fourth proportional to 5,735.76, 8,603.64 and 1,631.76 is: 2,447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.76 : 8,603.64 = 1,631.76 : x
  2. Step 2: Convert to fraction form
    5,735.76/8,603.64 = 1,631.76/x
  3. Step 3: Cross multiply
    5,735.76x = 8,603.64 × 1,631.76
  4. Step 4: Simplify right side
    5,735.76x = 14,039,075.61
  5. Step 5: Solve for x
    x = 14,039,075.61/5,735.76
  6. Step 6: Final answer
    x = 2,447.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.