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Finding the Fourth Proportional to 3,420.63, 5,130.95 and 1,570.46

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Solution

The fourth proportional to 3,420.63, 5,130.95 and 1,570.46 is: 2,355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.63 : 5,130.95 = 1,570.46 : x
  2. Step 2: Convert to fraction form
    3,420.63/5,130.95 = 1,570.46/x
  3. Step 3: Cross multiply
    3,420.63x = 5,130.95 × 1,570.46
  4. Step 4: Simplify right side
    3,420.63x = 8,057,918.23
  5. Step 5: Solve for x
    x = 8,057,918.23/3,420.63
  6. Step 6: Final answer
    x = 2,355.68

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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.