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Finding the Fourth Proportional to 4,305.60, 6,458.40 and 4,281.30

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Solution

The fourth proportional to 4,305.60, 6,458.40 and 4,281.30 is: 6,421.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.60 : 6,458.40 = 4,281.30 : x
  2. Step 2: Convert to fraction form
    4,305.60/6,458.40 = 4,281.30/x
  3. Step 3: Cross multiply
    4,305.60x = 6,458.40 × 4,281.30
  4. Step 4: Simplify right side
    4,305.60x = 27,650,347.92
  5. Step 5: Solve for x
    x = 27,650,347.92/4,305.60
  6. Step 6: Final answer
    x = 6,421.95

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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.