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Finding the Fourth Proportional to 5,870.70, 8,806.05 and 5,643.90

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Solution

The fourth proportional to 5,870.70, 8,806.05 and 5,643.90 is: 8,465.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.70 : 8,806.05 = 5,643.90 : x
  2. Step 2: Convert to fraction form
    5,870.70/8,806.05 = 5,643.90/x
  3. Step 3: Cross multiply
    5,870.70x = 8,806.05 × 5,643.90
  4. Step 4: Simplify right side
    5,870.70x = 49,700,465.60
  5. Step 5: Solve for x
    x = 49,700,465.60/5,870.70
  6. Step 6: Final answer
    x = 8,465.85

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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.