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Finding the Fourth Proportional to 5,206.60, 7,788.30 and 4,688.20

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Solution

The fourth proportional to 5,206.60, 7,788.30 and 4,688.20 is: 7,012.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.60 : 7,788.30 = 4,688.20 : x
  2. Step 2: Convert to fraction form
    5,206.60/7,788.30 = 4,688.20/x
  3. Step 3: Cross multiply
    5,206.60x = 7,788.30 × 4,688.20
  4. Step 4: Simplify right side
    5,206.60x = 36,513,108.06
  5. Step 5: Solve for x
    x = 36,513,108.06/5,206.60
  6. Step 6: Final answer
    x = 7,012.85

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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.