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Finding the Fourth Proportional to 4,858.40, 6,702.18 and 4,195.10

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Solution

The fourth proportional to 4,858.40, 6,702.18 and 4,195.10 is: 5,787.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,858.40 : 6,702.18 = 4,195.10 : x
  2. Step 2: Convert to fraction form
    4,858.40/6,702.18 = 4,195.10/x
  3. Step 3: Cross multiply
    4,858.40x = 6,702.18 × 4,195.10
  4. Step 4: Simplify right side
    4,858.40x = 28,116,315.32
  5. Step 5: Solve for x
    x = 28,116,315.32/4,858.40
  6. Step 6: Final answer
    x = 5,787.16

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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.