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Finding the Fourth Proportional to 3,378.34, 4,656.52 and 2,258.86

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Solution

The fourth proportional to 3,378.34, 4,656.52 and 2,258.86 is: 3,113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.34 : 4,656.52 = 2,258.86 : x
  2. Step 2: Convert to fraction form
    3,378.34/4,656.52 = 2,258.86/x
  3. Step 3: Cross multiply
    3,378.34x = 4,656.52 × 2,258.86
  4. Step 4: Simplify right side
    3,378.34x = 10,518,426.77
  5. Step 5: Solve for x
    x = 10,518,426.77/3,378.34
  6. Step 6: Final answer
    x = 3,113.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.