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Finding the Fourth Proportional to 4,465.84, 6,697.80 and 2,820.19

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Solution

The fourth proportional to 4,465.84, 6,697.80 and 2,820.19 is: 4,229.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.84 : 6,697.80 = 2,820.19 : x
  2. Step 2: Convert to fraction form
    4,465.84/6,697.80 = 2,820.19/x
  3. Step 3: Cross multiply
    4,465.84x = 6,697.80 × 2,820.19
  4. Step 4: Simplify right side
    4,465.84x = 18,889,068.58
  5. Step 5: Solve for x
    x = 18,889,068.58/4,465.84
  6. Step 6: Final answer
    x = 4,229.68

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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.