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Finding the Fourth Proportional to 5,656.64, 8,482.24 and 1,760.32

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Solution

The fourth proportional to 5,656.64, 8,482.24 and 1,760.32 is: 2,639.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.64 : 8,482.24 = 1,760.32 : x
  2. Step 2: Convert to fraction form
    5,656.64/8,482.24 = 1,760.32/x
  3. Step 3: Cross multiply
    5,656.64x = 8,482.24 × 1,760.32
  4. Step 4: Simplify right side
    5,656.64x = 14,931,456.72
  5. Step 5: Solve for x
    x = 14,931,456.72/5,656.64
  6. Step 6: Final answer
    x = 2,639.63

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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.