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Finding the Fourth Proportional to 3,435.18, 5,148.83 and 1,457.89

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Solution

The fourth proportional to 3,435.18, 5,148.83 and 1,457.89 is: 2,185.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.18 : 5,148.83 = 1,457.89 : x
  2. Step 2: Convert to fraction form
    3,435.18/5,148.83 = 1,457.89/x
  3. Step 3: Cross multiply
    3,435.18x = 5,148.83 × 1,457.89
  4. Step 4: Simplify right side
    3,435.18x = 7,506,405.15
  5. Step 5: Solve for x
    x = 7,506,405.15/3,435.18
  6. Step 6: Final answer
    x = 2,185.15

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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.