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Finding the Fourth Proportional to 4,200.98, 6,304.02 and 1,570.40

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Solution

The fourth proportional to 4,200.98, 6,304.02 and 1,570.40 is: 2,356.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.98 : 6,304.02 = 1,570.40 : x
  2. Step 2: Convert to fraction form
    4,200.98/6,304.02 = 1,570.40/x
  3. Step 3: Cross multiply
    4,200.98x = 6,304.02 × 1,570.40
  4. Step 4: Simplify right side
    4,200.98x = 9,899,833.01
  5. Step 5: Solve for x
    x = 9,899,833.01/4,200.98
  6. Step 6: Final answer
    x = 2,356.55

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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.