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Finding the Fourth Proportional to 4,411.96, 6,580.90 and 4,053.76

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Solution

The fourth proportional to 4,411.96, 6,580.90 and 4,053.76 is: 6,046.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,411.96 : 6,580.90 = 4,053.76 : x
  2. Step 2: Convert to fraction form
    4,411.96/6,580.90 = 4,053.76/x
  3. Step 3: Cross multiply
    4,411.96x = 6,580.90 × 4,053.76
  4. Step 4: Simplify right side
    4,411.96x = 26,677,389.18
  5. Step 5: Solve for x
    x = 26,677,389.18/4,411.96
  6. Step 6: Final answer
    x = 6,046.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.