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Finding the Fourth Proportional to 5,298.48, 7,952.04 and 2,702.16

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Solution

The fourth proportional to 5,298.48, 7,952.04 and 2,702.16 is: 4,055.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.48 : 7,952.04 = 2,702.16 : x
  2. Step 2: Convert to fraction form
    5,298.48/7,952.04 = 2,702.16/x
  3. Step 3: Cross multiply
    5,298.48x = 7,952.04 × 2,702.16
  4. Step 4: Simplify right side
    5,298.48x = 21,487,684.41
  5. Step 5: Solve for x
    x = 21,487,684.41/5,298.48
  6. Step 6: Final answer
    x = 4,055.44

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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.