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Finding the Fourth Proportional to 5,702.50, 7,871.37 and 4,051.30

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Solution

The fourth proportional to 5,702.50, 7,871.37 and 4,051.30 is: 5,592.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.50 : 7,871.37 = 4,051.30 : x
  2. Step 2: Convert to fraction form
    5,702.50/7,871.37 = 4,051.30/x
  3. Step 3: Cross multiply
    5,702.50x = 7,871.37 × 4,051.30
  4. Step 4: Simplify right side
    5,702.50x = 31,889,281.28
  5. Step 5: Solve for x
    x = 31,889,281.28/5,702.50
  6. Step 6: Final answer
    x = 5,592.16

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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.