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Finding the Fourth Proportional to 5,830.02, 8,702.72 and 5,396.36

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Solution

The fourth proportional to 5,830.02, 8,702.72 and 5,396.36 is: 8,055.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.02 : 8,702.72 = 5,396.36 : x
  2. Step 2: Convert to fraction form
    5,830.02/8,702.72 = 5,396.36/x
  3. Step 3: Cross multiply
    5,830.02x = 8,702.72 × 5,396.36
  4. Step 4: Simplify right side
    5,830.02x = 46,963,010.10
  5. Step 5: Solve for x
    x = 46,963,010.10/5,830.02
  6. Step 6: Final answer
    x = 8,055.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.