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Finding the Fourth Proportional to 5,686.58, 8,530.96 and 1,738.10

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Solution

The fourth proportional to 5,686.58, 8,530.96 and 1,738.10 is: 2,607.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.58 : 8,530.96 = 1,738.10 : x
  2. Step 2: Convert to fraction form
    5,686.58/8,530.96 = 1,738.10/x
  3. Step 3: Cross multiply
    5,686.58x = 8,530.96 × 1,738.10
  4. Step 4: Simplify right side
    5,686.58x = 14,827,661.58
  5. Step 5: Solve for x
    x = 14,827,661.58/5,686.58
  6. Step 6: Final answer
    x = 2,607.48

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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.