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Finding the Fourth Proportional to 6,407.84, 8,842.45 and 4,017.91

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Solution

The fourth proportional to 6,407.84, 8,842.45 and 4,017.91 is: 5,544.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.84 : 8,842.45 = 4,017.91 : x
  2. Step 2: Convert to fraction form
    6,407.84/8,842.45 = 4,017.91/x
  3. Step 3: Cross multiply
    6,407.84x = 8,842.45 × 4,017.91
  4. Step 4: Simplify right side
    6,407.84x = 35,528,160.84
  5. Step 5: Solve for x
    x = 35,528,160.84/6,407.84
  6. Step 6: Final answer
    x = 5,544.49

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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.