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Finding the Fourth Proportional to 4,342.66, 6,513.89 and 1,055.77

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Solution

The fourth proportional to 4,342.66, 6,513.89 and 1,055.77 is: 1,583.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.66 : 6,513.89 = 1,055.77 : x
  2. Step 2: Convert to fraction form
    4,342.66/6,513.89 = 1,055.77/x
  3. Step 3: Cross multiply
    4,342.66x = 6,513.89 × 1,055.77
  4. Step 4: Simplify right side
    4,342.66x = 6,877,139.72
  5. Step 5: Solve for x
    x = 6,877,139.72/4,342.66
  6. Step 6: Final answer
    x = 1,583.63

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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.