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Finding the Fourth Proportional to 5,465.60, 8,198.64 and 1,570.40

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Solution

The fourth proportional to 5,465.60, 8,198.64 and 1,570.40 is: 2,355.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.60 : 8,198.64 = 1,570.40 : x
  2. Step 2: Convert to fraction form
    5,465.60/8,198.64 = 1,570.40/x
  3. Step 3: Cross multiply
    5,465.60x = 8,198.64 × 1,570.40
  4. Step 4: Simplify right side
    5,465.60x = 12,875,144.26
  5. Step 5: Solve for x
    x = 12,875,144.26/5,465.60
  6. Step 6: Final answer
    x = 2,355.67

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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.