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Finding the Fourth Proportional to 5,702.44, 7,870.30 and 3,465.80

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Solution

The fourth proportional to 5,702.44, 7,870.30 and 3,465.80 is: 4,783.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.44 : 7,870.30 = 3,465.80 : x
  2. Step 2: Convert to fraction form
    5,702.44/7,870.30 = 3,465.80/x
  3. Step 3: Cross multiply
    5,702.44x = 7,870.30 × 3,465.80
  4. Step 4: Simplify right side
    5,702.44x = 27,276,885.74
  5. Step 5: Solve for x
    x = 27,276,885.74/5,702.44
  6. Step 6: Final answer
    x = 4,783.37

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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.