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Finding the Fourth Proportional to 4,875.60, 7,309.80 and 2,686.80

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Solution

The fourth proportional to 4,875.60, 7,309.80 and 2,686.80 is: 4,028.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.60 : 7,309.80 = 2,686.80 : x
  2. Step 2: Convert to fraction form
    4,875.60/7,309.80 = 2,686.80/x
  3. Step 3: Cross multiply
    4,875.60x = 7,309.80 × 2,686.80
  4. Step 4: Simplify right side
    4,875.60x = 19,639,970.64
  5. Step 5: Solve for x
    x = 19,639,970.64/4,875.60
  6. Step 6: Final answer
    x = 4,028.22

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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.