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Finding the Fourth Proportional to 5,465.16, 8,198.02 and 1,570.16

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Solution

The fourth proportional to 5,465.16, 8,198.02 and 1,570.16 is: 2,355.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.16 : 8,198.02 = 1,570.16 : x
  2. Step 2: Convert to fraction form
    5,465.16/8,198.02 = 1,570.16/x
  3. Step 3: Cross multiply
    5,465.16x = 8,198.02 × 1,570.16
  4. Step 4: Simplify right side
    5,465.16x = 12,872,203.08
  5. Step 5: Solve for x
    x = 12,872,203.08/5,465.16
  6. Step 6: Final answer
    x = 2,355.32

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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.