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Finding the Fourth Proportional to 4,354.29, 6,009.05 and 2,465.84

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Solution

The fourth proportional to 4,354.29, 6,009.05 and 2,465.84 is: 3,402.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354.29 : 6,009.05 = 2,465.84 : x
  2. Step 2: Convert to fraction form
    4,354.29/6,009.05 = 2,465.84/x
  3. Step 3: Cross multiply
    4,354.29x = 6,009.05 × 2,465.84
  4. Step 4: Simplify right side
    4,354.29x = 14,817,355.85
  5. Step 5: Solve for x
    x = 14,817,355.85/4,354.29
  6. Step 6: Final answer
    x = 3,402.93

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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.