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Finding the Fourth Proportional to 5,714.84, 8,606.50 and 5,029.02

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Solution

The fourth proportional to 5,714.84, 8,606.50 and 5,029.02 is: 7,573.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.84 : 8,606.50 = 5,029.02 : x
  2. Step 2: Convert to fraction form
    5,714.84/8,606.50 = 5,029.02/x
  3. Step 3: Cross multiply
    5,714.84x = 8,606.50 × 5,029.02
  4. Step 4: Simplify right side
    5,714.84x = 43,282,260.63
  5. Step 5: Solve for x
    x = 43,282,260.63/5,714.84
  6. Step 6: Final answer
    x = 7,573.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.