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Finding the Fourth Proportional to 5,659.93, 8,486.58 and 1,710.01

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Solution

The fourth proportional to 5,659.93, 8,486.58 and 1,710.01 is: 2,564.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.93 : 8,486.58 = 1,710.01 : x
  2. Step 2: Convert to fraction form
    5,659.93/8,486.58 = 1,710.01/x
  3. Step 3: Cross multiply
    5,659.93x = 8,486.58 × 1,710.01
  4. Step 4: Simplify right side
    5,659.93x = 14,512,115.45
  5. Step 5: Solve for x
    x = 14,512,115.45/5,659.93
  6. Step 6: Final answer
    x = 2,564.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.