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Finding the Fourth Proportional to 5,746.84, 8,623.50 and 5,702.92

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Solution

The fourth proportional to 5,746.84, 8,623.50 and 5,702.92 is: 8,557.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.84 : 8,623.50 = 5,702.92 : x
  2. Step 2: Convert to fraction form
    5,746.84/8,623.50 = 5,702.92/x
  3. Step 3: Cross multiply
    5,746.84x = 8,623.50 × 5,702.92
  4. Step 4: Simplify right side
    5,746.84x = 49,179,130.62
  5. Step 5: Solve for x
    x = 49,179,130.62/5,746.84
  6. Step 6: Final answer
    x = 8,557.60

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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.