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Finding the Fourth Proportional to 4,669.84, 6,442.08 and 4,336.40

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Solution

The fourth proportional to 4,669.84, 6,442.08 and 4,336.40 is: 5,982.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.84 : 6,442.08 = 4,336.40 : x
  2. Step 2: Convert to fraction form
    4,669.84/6,442.08 = 4,336.40/x
  3. Step 3: Cross multiply
    4,669.84x = 6,442.08 × 4,336.40
  4. Step 4: Simplify right side
    4,669.84x = 27,935,435.71
  5. Step 5: Solve for x
    x = 27,935,435.71/4,669.84
  6. Step 6: Final answer
    x = 5,982.10

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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.