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Finding the Fourth Proportional to 4,642.83, 6,915.99 and 4,391.32

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Solution

The fourth proportional to 4,642.83, 6,915.99 and 4,391.32 is: 6,541.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.83 : 6,915.99 = 4,391.32 : x
  2. Step 2: Convert to fraction form
    4,642.83/6,915.99 = 4,391.32/x
  3. Step 3: Cross multiply
    4,642.83x = 6,915.99 × 4,391.32
  4. Step 4: Simplify right side
    4,642.83x = 30,370,325.21
  5. Step 5: Solve for x
    x = 30,370,325.21/4,642.83
  6. Step 6: Final answer
    x = 6,541.34

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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.