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Finding the Fourth Proportional to 5,358.40, 8,023.62 and 4,312.69

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Solution

The fourth proportional to 5,358.40, 8,023.62 and 4,312.69 is: 6,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.40 : 8,023.62 = 4,312.69 : x
  2. Step 2: Convert to fraction form
    5,358.40/8,023.62 = 4,312.69/x
  3. Step 3: Cross multiply
    5,358.40x = 8,023.62 × 4,312.69
  4. Step 4: Simplify right side
    5,358.40x = 34,603,385.74
  5. Step 5: Solve for x
    x = 34,603,385.74/5,358.40
  6. Step 6: Final answer
    x = 6,457.78

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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.