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Finding the Fourth Proportional to 4,328.79, 6,493.95 and 1,406.58

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Solution

The fourth proportional to 4,328.79, 6,493.95 and 1,406.58 is: 2,110.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328.79 : 6,493.95 = 1,406.58 : x
  2. Step 2: Convert to fraction form
    4,328.79/6,493.95 = 1,406.58/x
  3. Step 3: Cross multiply
    4,328.79x = 6,493.95 × 1,406.58
  4. Step 4: Simplify right side
    4,328.79x = 9,134,260.19
  5. Step 5: Solve for x
    x = 9,134,260.19/4,328.79
  6. Step 6: Final answer
    x = 2,110.12

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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.