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Finding the Fourth Proportional to 4,293.85, 5,925.89 and 2,405.40

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Solution

The fourth proportional to 4,293.85, 5,925.89 and 2,405.40 is: 3,319.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,293.85 : 5,925.89 = 2,405.40 : x
  2. Step 2: Convert to fraction form
    4,293.85/5,925.89 = 2,405.40/x
  3. Step 3: Cross multiply
    4,293.85x = 5,925.89 × 2,405.40
  4. Step 4: Simplify right side
    4,293.85x = 14,254,150.62
  5. Step 5: Solve for x
    x = 14,254,150.62/4,293.85
  6. Step 6: Final answer
    x = 3,319.67

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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.