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Finding the Fourth Proportional to 3,430.49, 5,146.05 and 1,582.12

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Solution

The fourth proportional to 3,430.49, 5,146.05 and 1,582.12 is: 2,373.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.49 : 5,146.05 = 1,582.12 : x
  2. Step 2: Convert to fraction form
    3,430.49/5,146.05 = 1,582.12/x
  3. Step 3: Cross multiply
    3,430.49x = 5,146.05 × 1,582.12
  4. Step 4: Simplify right side
    3,430.49x = 8,141,642.90
  5. Step 5: Solve for x
    x = 8,141,642.90/3,430.49
  6. Step 6: Final answer
    x = 2,373.32

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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.