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Finding the Fourth Proportional to 5,830.86, 8,702.22 and 5,435.82

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Solution

The fourth proportional to 5,830.86, 8,702.22 and 5,435.82 is: 8,112.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.86 : 8,702.22 = 5,435.82 : x
  2. Step 2: Convert to fraction form
    5,830.86/8,702.22 = 5,435.82/x
  3. Step 3: Cross multiply
    5,830.86x = 8,702.22 × 5,435.82
  4. Step 4: Simplify right side
    5,830.86x = 47,303,701.52
  5. Step 5: Solve for x
    x = 47,303,701.52/5,830.86
  6. Step 6: Final answer
    x = 8,112.65

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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.