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Finding the Fourth Proportional to 4,947.16, 7,416.42 and 1,871.32

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Solution

The fourth proportional to 4,947.16, 7,416.42 and 1,871.32 is: 2,805.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.16 : 7,416.42 = 1,871.32 : x
  2. Step 2: Convert to fraction form
    4,947.16/7,416.42 = 1,871.32/x
  3. Step 3: Cross multiply
    4,947.16x = 7,416.42 × 1,871.32
  4. Step 4: Simplify right side
    4,947.16x = 13,878,495.07
  5. Step 5: Solve for x
    x = 13,878,495.07/4,947.16
  6. Step 6: Final answer
    x = 2,805.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.