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Finding the Fourth Proportional to 4,203.24, 6,304.11 and 1,570.16

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Solution

The fourth proportional to 4,203.24, 6,304.11 and 1,570.16 is: 2,354.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.24 : 6,304.11 = 1,570.16 : x
  2. Step 2: Convert to fraction form
    4,203.24/6,304.11 = 1,570.16/x
  3. Step 3: Cross multiply
    4,203.24x = 6,304.11 × 1,570.16
  4. Step 4: Simplify right side
    4,203.24x = 9,898,429.84
  5. Step 5: Solve for x
    x = 9,898,429.84/4,203.24
  6. Step 6: Final answer
    x = 2,354.95

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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.