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Finding the Fourth Proportional to 4,308.47, 6,458.60 and 1,384.73

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Solution

The fourth proportional to 4,308.47, 6,458.60 and 1,384.73 is: 2,075.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.47 : 6,458.60 = 1,384.73 : x
  2. Step 2: Convert to fraction form
    4,308.47/6,458.60 = 1,384.73/x
  3. Step 3: Cross multiply
    4,308.47x = 6,458.60 × 1,384.73
  4. Step 4: Simplify right side
    4,308.47x = 8,943,417.18
  5. Step 5: Solve for x
    x = 8,943,417.18/4,308.47
  6. Step 6: Final answer
    x = 2,075.78

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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.