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Finding the Fourth Proportional to 5,706.10, 8,558.28 and 1,810

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Solution

The fourth proportional to 5,706.10, 8,558.28 and 1,810 is: 2,714.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.10 : 8,558.28 = 1,810 : x
  2. Step 2: Convert to fraction form
    5,706.10/8,558.28 = 1,810/x
  3. Step 3: Cross multiply
    5,706.10x = 8,558.28 × 1,810
  4. Step 4: Simplify right side
    5,706.10x = 15,490,486.80
  5. Step 5: Solve for x
    x = 15,490,486.80/5,706.10
  6. Step 6: Final answer
    x = 2,714.72

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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.