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Finding the Fourth Proportional to 4,338.40, 6,509.76 and 2,030.08

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Solution

The fourth proportional to 4,338.40, 6,509.76 and 2,030.08 is: 3,046.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.40 : 6,509.76 = 2,030.08 : x
  2. Step 2: Convert to fraction form
    4,338.40/6,509.76 = 2,030.08/x
  3. Step 3: Cross multiply
    4,338.40x = 6,509.76 × 2,030.08
  4. Step 4: Simplify right side
    4,338.40x = 13,215,333.58
  5. Step 5: Solve for x
    x = 13,215,333.58/4,338.40
  6. Step 6: Final answer
    x = 3,046.13

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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.