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Finding the Fourth Proportional to 5,693.65, 8,533.77 and 2,570.01

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Solution

The fourth proportional to 5,693.65, 8,533.77 and 2,570.01 is: 3,851.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.65 : 8,533.77 = 2,570.01 : x
  2. Step 2: Convert to fraction form
    5,693.65/8,533.77 = 2,570.01/x
  3. Step 3: Cross multiply
    5,693.65x = 8,533.77 × 2,570.01
  4. Step 4: Simplify right side
    5,693.65x = 21,931,874.24
  5. Step 5: Solve for x
    x = 21,931,874.24/5,693.65
  6. Step 6: Final answer
    x = 3,851.99

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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.