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Finding the Fourth Proportional to 5,702.52, 8,551.62 and 2,779.32

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Solution

The fourth proportional to 5,702.52, 8,551.62 and 2,779.32 is: 4,167.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.52 : 8,551.62 = 2,779.32 : x
  2. Step 2: Convert to fraction form
    5,702.52/8,551.62 = 2,779.32/x
  3. Step 3: Cross multiply
    5,702.52x = 8,551.62 × 2,779.32
  4. Step 4: Simplify right side
    5,702.52x = 23,767,688.50
  5. Step 5: Solve for x
    x = 23,767,688.50/5,702.52
  6. Step 6: Final answer
    x = 4,167.93

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Why These Related Problems?

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