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Finding the Fourth Proportional to 3,117.69, 4,676.58 and 3,113.10

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Solution

The fourth proportional to 3,117.69, 4,676.58 and 3,113.10 is: 4,669.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.69 : 4,676.58 = 3,113.10 : x
  2. Step 2: Convert to fraction form
    3,117.69/4,676.58 = 3,113.10/x
  3. Step 3: Cross multiply
    3,117.69x = 4,676.58 × 3,113.10
  4. Step 4: Simplify right side
    3,117.69x = 14,558,661.20
  5. Step 5: Solve for x
    x = 14,558,661.20/3,117.69
  6. Step 6: Final answer
    x = 4,669.69

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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.