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Finding the Fourth Proportional to 5,714.67, 8,570.85 and 1,554.96

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Solution

The fourth proportional to 5,714.67, 8,570.85 and 1,554.96 is: 2,332.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.67 : 8,570.85 = 1,554.96 : x
  2. Step 2: Convert to fraction form
    5,714.67/8,570.85 = 1,554.96/x
  3. Step 3: Cross multiply
    5,714.67x = 8,570.85 × 1,554.96
  4. Step 4: Simplify right side
    5,714.67x = 13,327,328.92
  5. Step 5: Solve for x
    x = 13,327,328.92/5,714.67
  6. Step 6: Final answer
    x = 2,332.13

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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.