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Finding the Fourth Proportional to 5,465.96, 8,200.16 and 1,570.07

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Solution

The fourth proportional to 5,465.96, 8,200.16 and 1,570.07 is: 2,355.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.96 : 8,200.16 = 1,570.07 : x
  2. Step 2: Convert to fraction form
    5,465.96/8,200.16 = 1,570.07/x
  3. Step 3: Cross multiply
    5,465.96x = 8,200.16 × 1,570.07
  4. Step 4: Simplify right side
    5,465.96x = 12,874,825.21
  5. Step 5: Solve for x
    x = 12,874,825.21/5,465.96
  6. Step 6: Final answer
    x = 2,355.46

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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.