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Finding the Fourth Proportional to 5,713.83, 8,570.70 and 4,335.63

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Solution

The fourth proportional to 5,713.83, 8,570.70 and 4,335.63 is: 6,503.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.83 : 8,570.70 = 4,335.63 : x
  2. Step 2: Convert to fraction form
    5,713.83/8,570.70 = 4,335.63/x
  3. Step 3: Cross multiply
    5,713.83x = 8,570.70 × 4,335.63
  4. Step 4: Simplify right side
    5,713.83x = 37,159,384.04
  5. Step 5: Solve for x
    x = 37,159,384.04/5,713.83
  6. Step 6: Final answer
    x = 6,503.41

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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.