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Finding the Fourth Proportional to 6,064.29, 8,368.89 and 3,411.93

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Solution

The fourth proportional to 6,064.29, 8,368.89 and 3,411.93 is: 4,708.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,064.29 : 8,368.89 = 3,411.93 : x
  2. Step 2: Convert to fraction form
    6,064.29/8,368.89 = 3,411.93/x
  3. Step 3: Cross multiply
    6,064.29x = 8,368.89 × 3,411.93
  4. Step 4: Simplify right side
    6,064.29x = 28,554,066.86
  5. Step 5: Solve for x
    x = 28,554,066.86/6,064.29
  6. Step 6: Final answer
    x = 4,708.56

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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.