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Finding the Fourth Proportional to 5,643.70, 8,465.55 and 5,206.30

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Solution

The fourth proportional to 5,643.70, 8,465.55 and 5,206.30 is: 7,809.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.70 : 8,465.55 = 5,206.30 : x
  2. Step 2: Convert to fraction form
    5,643.70/8,465.55 = 5,206.30/x
  3. Step 3: Cross multiply
    5,643.70x = 8,465.55 × 5,206.30
  4. Step 4: Simplify right side
    5,643.70x = 44,074,192.97
  5. Step 5: Solve for x
    x = 44,074,192.97/5,643.70
  6. Step 6: Final answer
    x = 7,809.45

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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.