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Finding the Fourth Proportional to 5,465.94, 8,200.24 and 1,570.32

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Solution

The fourth proportional to 5,465.94, 8,200.24 and 1,570.32 is: 2,355.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.94 : 8,200.24 = 1,570.32 : x
  2. Step 2: Convert to fraction form
    5,465.94/8,200.24 = 1,570.32/x
  3. Step 3: Cross multiply
    5,465.94x = 8,200.24 × 1,570.32
  4. Step 4: Simplify right side
    5,465.94x = 12,877,000.88
  5. Step 5: Solve for x
    x = 12,877,000.88/5,465.94
  6. Step 6: Final answer
    x = 2,355.86

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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.