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Finding the Fourth Proportional to 3,457.95, 4,770.61 and 2,129.35

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Solution

The fourth proportional to 3,457.95, 4,770.61 and 2,129.35 is: 2,937.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.95 : 4,770.61 = 2,129.35 : x
  2. Step 2: Convert to fraction form
    3,457.95/4,770.61 = 2,129.35/x
  3. Step 3: Cross multiply
    3,457.95x = 4,770.61 × 2,129.35
  4. Step 4: Simplify right side
    3,457.95x = 10,158,298.40
  5. Step 5: Solve for x
    x = 10,158,298.40/3,457.95
  6. Step 6: Final answer
    x = 2,937.66

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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.