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Finding the Fourth Proportional to 4,386.60, 6,579.90 and 1,099.80

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Solution

The fourth proportional to 4,386.60, 6,579.90 and 1,099.80 is: 1,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,386.60 : 6,579.90 = 1,099.80 : x
  2. Step 2: Convert to fraction form
    4,386.60/6,579.90 = 1,099.80/x
  3. Step 3: Cross multiply
    4,386.60x = 6,579.90 × 1,099.80
  4. Step 4: Simplify right side
    4,386.60x = 7,236,574.02
  5. Step 5: Solve for x
    x = 7,236,574.02/4,386.60
  6. Step 6: Final answer
    x = 1,649.70

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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.