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Finding the Fourth Proportional to 4,298.09, 6,447.16 and 4,088.23

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Solution

The fourth proportional to 4,298.09, 6,447.16 and 4,088.23 is: 6,132.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.09 : 6,447.16 = 4,088.23 : x
  2. Step 2: Convert to fraction form
    4,298.09/6,447.16 = 4,088.23/x
  3. Step 3: Cross multiply
    4,298.09x = 6,447.16 × 4,088.23
  4. Step 4: Simplify right side
    4,298.09x = 26,357,461.92
  5. Step 5: Solve for x
    x = 26,357,461.92/4,298.09
  6. Step 6: Final answer
    x = 6,132.37

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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.