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Finding the Fourth Proportional to 6,088.24, 8,402.16 and 3,434.68

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Solution

The fourth proportional to 6,088.24, 8,402.16 and 3,434.68 is: 4,740.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,088.24 : 8,402.16 = 3,434.68 : x
  2. Step 2: Convert to fraction form
    6,088.24/8,402.16 = 3,434.68/x
  3. Step 3: Cross multiply
    6,088.24x = 8,402.16 × 3,434.68
  4. Step 4: Simplify right side
    6,088.24x = 28,858,730.91
  5. Step 5: Solve for x
    x = 28,858,730.91/6,088.24
  6. Step 6: Final answer
    x = 4,740.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.