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Finding the Fourth Proportional to 4,618.64, 6,929.58 and 2,023.40

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Solution

The fourth proportional to 4,618.64, 6,929.58 and 2,023.40 is: 3,035.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,618.64 : 6,929.58 = 2,023.40 : x
  2. Step 2: Convert to fraction form
    4,618.64/6,929.58 = 2,023.40/x
  3. Step 3: Cross multiply
    4,618.64x = 6,929.58 × 2,023.40
  4. Step 4: Simplify right side
    4,618.64x = 14,021,312.17
  5. Step 5: Solve for x
    x = 14,021,312.17/4,618.64
  6. Step 6: Final answer
    x = 3,035.81

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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.