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Finding the Fourth Proportional to 3,411.55, 5,117.30 and 946.35

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Solution

The fourth proportional to 3,411.55, 5,117.30 and 946.35 is: 1,419.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.55 : 5,117.30 = 946.35 : x
  2. Step 2: Convert to fraction form
    3,411.55/5,117.30 = 946.35/x
  3. Step 3: Cross multiply
    3,411.55x = 5,117.30 × 946.35
  4. Step 4: Simplify right side
    3,411.55x = 4,842,756.86
  5. Step 5: Solve for x
    x = 4,842,756.86/3,411.55
  6. Step 6: Final answer
    x = 1,419.52

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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.