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Finding the Fourth Proportional to 5,714.69, 8,572.82 and 1,554.84

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Solution

The fourth proportional to 5,714.69, 8,572.82 and 1,554.84 is: 2,332.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.69 : 8,572.82 = 1,554.84 : x
  2. Step 2: Convert to fraction form
    5,714.69/8,572.82 = 1,554.84/x
  3. Step 3: Cross multiply
    5,714.69x = 8,572.82 × 1,554.84
  4. Step 4: Simplify right side
    5,714.69x = 13,329,355.67
  5. Step 5: Solve for x
    x = 13,329,355.67/5,714.69
  6. Step 6: Final answer
    x = 2,332.47

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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.