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Finding the Fourth Proportional to 3,117.96, 4,677.72 and 926.52

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Solution

The fourth proportional to 3,117.96, 4,677.72 and 926.52 is: 1,390.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.96 : 4,677.72 = 926.52 : x
  2. Step 2: Convert to fraction form
    3,117.96/4,677.72 = 926.52/x
  3. Step 3: Cross multiply
    3,117.96x = 4,677.72 × 926.52
  4. Step 4: Simplify right side
    3,117.96x = 4,334,001.13
  5. Step 5: Solve for x
    x = 4,334,001.13/3,117.96
  6. Step 6: Final answer
    x = 1,390.01

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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.